Thom Jurek of Allmusic stated "Remarkable. Ultimately, Bounce is the most perfectly paced of all of Blanchard's recordings. He divides his time between tempos, but always comes back to silence to ground himself and begin over. In terms of his lyrical lines, they have never been in a sense more simple or more sophisticated (check out the blissed-out harmonics in "Innocence"), where the individual players become identified by their ensemble contributions first and then as soloists. Mr. Blanchard's own soling has never been more restrained or more profound. In his economy of phrase, entire sound worlds become evident that were never noticeable before. On Bounce, Blanchard proves that he is the trumpet player, composer, and bandleader who is moving jazz, albeit at his own pace, in new directions that encompass both a new look at Western musical systems and never leave the human heart out of the equation. This is his masterpiece thus far and a high-water mark for anybody else to follow."
John Murph of JazzTimes noted 'For the most, on Bounce, Blanchard leads an ensemble that recalls those of one of his mentors, Art Blakey... Ultimately though, it’s Blanchard, who shines brightest. His succinct solos are always filled with the right amount of rhythmic crackle and subtle nuance. Whether he’s firing off searing notes that seem to scrap the clouds, as on “On the Verge,” “Azania” or “Fred Brown,” or lowering the flames to candlelight flicker as on “Nocturna,” his solos gleam with clarity, emotional poignancy and rhythmic punch. In other words, they bounce."