Cheek to Cheek, which features New York singers Bennett
and Gaga singing classics such as Anything Goes and Let's Face The Music And Dance, sold 131,000 copies in its first week according to figures from Nielsen SoundScan.
Bennett previously set the record for becoming the oldest-living artist to land a No. 1 album in 2011 aged 85, with his compilation Duets, which included a track with Gaga.
Cheek to Cheek is the second compilation of classic songs to top the Billboard 200 chart for the second consecutive week, after fellow New York songstress Barbra Streisand's Partners debuted at No. 1 last week.
Partners dropped to No. 3 this week, behind country singer Kenny Chesney's Big Revival, which entered the chart at No. 2 with sales of 130,000.Also read: Lady Gaga feels Tony Bennett saved her from quitting music for good
Other new albums to break into the top ten of the Billboard 200 chart, which measures physical and digital album sales across all genres, include English indie rockers Alt-J at No. 4 with This Is All Yours and a cappella group Pentatonix at No. 5 with PTX, Vol. III.
Blues rocker Joe Bonamassa clocked in at No. 8 with Different Shades of Blues and R&B singer Jennifer Hudson rounded out the top ten with her new album JHUD.
For the week ending Sept. 28, total album sales clocked in at 4.4 million units, down 14 percent from the comparable week in 2013, while year-to-date total sales totaled 175.71 million, also down 14 percent from last year, Billboard said.