Airbnb forecasts third-quarter revenue above market estimates on Thursday, but industry fears of softening U.S. domestic demand have sent the vacation rental firm's shares down 4.2 per cent in after-hours trading.

The San Francisco-based company forecast revenue for the quarter between US$3.3 billion and US$3.4 billion, ahead of analysts' average estimate of US$3.22 billion, as per Refinitiv data.

The company expects to gain from a rebound in urban and international travel but travel companies with larger U.S. exposure are losing domestic business as more consumers opt for vacations abroad.

Airbnb, which receives a majority of its revenue from outside the United States, said global cross-border bookings rose 16 per cent in the second quarter from a year earlier and more guests were returning to cities, with urban nights booked increasing by 13 per cent year-over-year.

"We continue to see signs of travellers returning to cities, historically one of the strongest areas of our business," the company said. Cross-border travel to Asia Pacific grew over 80 per cent in the quarter.

However, globally its average daily rate (ADR) rose just 1 per cent to US$166, as the company said it is looking to moderate price hikes for consumers. Daily rates in North America decreased 1 per cent.

The demand for domestic hotels has been flat in the United States as pandemic restrictions ease and a strong U.S. dollar has encouraged consumers to book flights and stays overseas, according to analysts. But the short-term rental company said the majority of its U.S. customers are still booking domestic stays.

Airbnb's second-quarter revenue rose 18.1 per cent, to US$2.48 billion, ahead of analysts' estimates of US$2.42 billion.

Hotel operators like Marriott International and Hilton Worldwide Holdings also reported a rise in international bookings but a slowdown in U.S. room revenue growth as travel shifted overseas.

Airbnb's gross bookings rose 13 per cent to US$19.1 billion, in line with analysts' average estimate.

The short-term rental company reported a profit of 98 cents per share, compared with the average analyst estimates of 78 cents per share.

Online travel agency Expedia reported smaller-than-expected bookings for the second quarter.

(Reporting by Priyamvada C in Bengaluru; Editing by Pooja Desai and Maju Samuel)