The song was received well by reviewers, who compared the music video and lyrics to the works of Usher and Nicki Minaj.

[3] Sam Lansky of MTV's Buzzworthy congratulated Rye Rye on the inclusion of Vengaboy's smash hit of a similar title, elevating it above her work with Robyn in "Never Will Be Mine" and the Far East Movement's "Jello".

Lansky called the song, "a contemporary radio confection, complete with layers of Atari blips and bloops alongside "Ay!"

[6] Rap-Up called it "action packed", praising the video game theme as appropriate compared with the electronic tone of the music.

[9] Marc Hogan, a writer for Spin, praised the atmosphere of the video, from the swirling chess boards to the Super Mario Bros.-inspired underwater terrain to the inevitable shirtless male dancers.

[6] Hogan stated in another review of "Boom Boom" that "It's not necessarily the rapper's best work, but it's solid bubblegum pop that aims toward the lowest common denominator without erasing her distinctive personality entirely — a difficult feat.