Exhibit 99.1

RESMED ANNOUNCES RECORD FINANCIAL RESULTS

FOR QUARTER ENDED SEPTEMBER 30, 2006

SAN DIEGO, California, November 8, 2006 - ResMed Inc. (NYSE: RMD) today announced record revenue and income results for the quarter ended September 30, 2006. Revenue for the quarter was $163.6 million, a 29% increase over the quarter ended September 30, 2005. For the current quarter, pro forma income from operations and pro forma net income were $40.6 million and $28.8 million, an increase of 34% and 39% respectively (pro forma measures exclude the impact of stock-based compensation costs, restructuring expenses and amortization of acquired intangible assets, which are described below). Pro forma diluted earnings per share for the quarter ended September 30, 2006, was $0.37, an increase of 32%, compared to the September 2005 quarter. GAAP operating income was $35.3 million for the quarter, while net income was $25.0 million or $0.32 per diluted share. GAAP gross margin was 62% for the quarter ended September 30, 2006.

Pro forma selling, general and administration (SG&A) costs for the quarter were $50.6 million, an increase of $8.8 million over the same period in fiscal 2006. Pro forma SG&A costs were 31% of revenue in the September quarter, compared to 33% in the same period in fiscal 2006. GAAP SG&A costs were $53.4 million for the quarter, an increase of $8.7 million or 20% over the quarter ended September 30, 2006. The increase in SG&A was primarily due to the addition of selling and administration personnel and related expenses necessary to support our sales growth.

Pro forma research and development expenditure during the quarter was $10.4 million, or approximately 6% of revenues. GAAP R&D expense during the quarter was $10.8 million or approximately 7% of revenue. GAAP R&D expenses increased 29% year over year and are expected to remain between 6% and 7% of net revenue through fiscal year 2007.

Amortisation of acquired intangibles of $1.7 million ($1.1 million net of tax) incurred during the quarter ended September 30, 2006, consisted of amortization of acquired intangible assets associated with our acquisitions of Resprecare, Hoefner, Saime, Polarmed and Pulmomed. Stock-based compensation costs incurred during the quarter ended September 30, 2006, of $3.6 million ($2.7 million net of tax) consisted of expenses associated with stock options granted to employees and the employee stock purchase plan.

The Company is providing tabular reconciliation of GAAP operating income and GAAP net income with pro forma operating income and pro forma net income, excluding the impact of stock-based compensation costs, restructuring expenses and amortization of acquired intangible assets, for the quarters September 30, 2006 and September 2005.

Inventory, at $123.0 million, increased by $6.8 million compared to June 2006 levels primarily to accommodate sales growth, particularly in the domestic market. Accounts receivable days sales outstanding, at 70 days, were consistent with the June 2006 quarter.

Peter C. Farrell, PhD, Chairman and Chief Executive Officer, commented, “In the first quarter of fiscal 2007, domestic sales increased by a very robust 34% over the year ago quarter to $89.6 million, reflecting continuing strong demand for our S8 platform and interfaces. International sales totaled $74 million, an encouraging 23% increase over last year. Operating cash flow for the September quarter was $26 million.”

Dr. Farrell continued, “This quarter we saw continued strength in the sales of our core products, including the Swift nasal pillows system and our full face masks. We are also encouraged by the initial response to our newly launched VPAP Adapt SV, which is used to treat complex or mixed sleep apnea. In addition, we began a controlled market release of a new flow generator targeted to the value segment of the market. And, on September 12^th, the National Sleep Foundation, American College of Chest Physicians and American College of Occupational and Environmental Medicine released a joint statement providing updated recommendations for the screening and evaluation of obstructive sleep apnea in commercial motor vehicle operators. This is encouraging news as we accelerate the implementation of our occupational health initiatives. Finally, our focus on diagnosing and treating sleep-disordered breathing and obstructive sleep apnea in patients with cardiovascular disease and diabetes continues to gain traction.”

About ResMed

ResMed is a leading manufacturer of medical equipment for the treatment and management of sleep-disordered breathing and other respiratory disorders. We are dedicated to developing innovative products to improve the lives of those who suffer from these conditions and to increasing awareness among patients and healthcare professionals for the potentially serious health consequences of untreated sleep-disordered breathing. For more information on ResMed, visit www.resmed.com.

ResMed will host a conference call at 2:00 p.m. U.S. Pacific Standard Time today to discuss these quarterly results. Individuals wishing to access the conference call may do so via ResMed’s Web site at www.resmed.com or by dialing (866) 761-0749 (domestic) or +1 (617) 614-2707 (international) and entering conference I.D. No. 89138285. Please allow extra time prior to the call to visit the Web site and download the streaming media player (Windows Media Player) required to listen to the Internet broadcast. The online archive of the broadcast will be available approximately 90 minutes after the live call and will be available for two weeks. A telephone replay of the conference call is available by dialing (888) 286-8010 (domestic) and +1 (617) 801-6888 (international) and entering conference I.D. No. 85006204.

Further information can be obtained by contacting Matthew Borer at ResMed Inc., San Diego, at (858) 746-2280; Brett Sandercock at ResMed Limited, Sydney, on (+61 2) 8884-2090; or by visiting the Company’s multilingual Web site at www.resmed.com.

Statements contained in this release that are not historical facts are “forward-looking” statements as contemplated by the Private Securities Litigation Reform Act of 1995. These forward-looking statements, including statements regarding the Company’s future revenue, earnings or expenses, new product development and new markets for the Company’s products, are subject to risks and uncertainties, which could cause actual results to materially differ from those projected or implied in the forward-looking statements. Those risks and uncertainties are discussed in the Company’s Annual Report on Form 10-K for its most recent fiscal year and in other reports the Company files with the U.S. Securities & Exchange Commission. Those reports are available on the Company’s Web site.

RESMED INC. AND SUBSIDIARIES

Consolidated Statements of Income (unaudited)

(In US$ thousands, except per share data)

RESMED INC. AND SUBSIDIARIES

Consolidated Balance Sheets (Unaudited)

(In US$ thousands except share and per share data)

Reconciliation of Non-GAAP Financial Measures (Unaudited)

(In US$ thousands, except share and per share data)

In managing its business, ResMed makes use of certain non-GAAP financial measures in evaluating the Company’s results of operations. The measure, “pro forma operating income” is reconciled with GAAP operating income in the table below:

The measure “net income, excluding the impact of stock-based compensation costs, restructuring expenses and amortization of acquired intangible assets,” is reconciled with GAAP net income in the table below:

ResMed believes that presenting diluted earnings per share, excluding the impact of stock-based compensation costs, restructuring expenses and amortization of acquired intangible assets is an additional measure of performance that investors can use to compare operating results between reporting periods. In addition, the events giving rise to the restructuring expenses are not associated with the Company’s normal operating business and are expected to result in future market opportunities, cost savings, and other benefits.

Management of the Company uses non-GAAP information internally in planning, forecasting, and evaluating the Company’s results of operations in the current period and in comparing it to past periods. The Company also uses these non-GAAP measures in evaluating management performance for compensation purposes. Management believes that this information also provides investors better insight in evaluating the Company’s earnings performance from core operations and provides consistency in financial reporting.

Management believes disclosure of non-GAAP earnings has economic substance because the excluded expenses represent non-cash expenditures, or relate to transactions that are variable in nature between reporting periods. Our use of non-GAAP earnings is intended to supplement, and not to replace, our presentation of net income and other GAAP measures. Like all non-GAAP measures, non-GAAP earnings are subject to inherent limitations because they do not include all the expenses that must be included under GAAP. We compensate for the inherent limitations of non-GAAP measures by not relying exclusively on non-GAAP measures, but rather by using such information to supplement GAAP financial measures.

Reconciliation of Basic and Diluted Earnings per Share (Unaudited)

(In US$ thousands, except share and per share data)