[4] "Burnin' Up" received acclaim from music critics, most of whom commended and praised Jessie J's vocal performance.

Idolator gave the song a positive review saying "Like 'Bang Bang', it’s all about those diva-sized pipes (and some major heavy breathing!

[5] Music Times also gave the song a very positive review, stating that "the bombastic, ominous opening has its tension cut quite quickly with uncharacteristically restrained vocals from J, though she soon builds up to those powerhouse volumes and notes that she's been well known for".

[6] Billboard awarded the song 3 out of 5 stars, saying that "While her vocals flirt with ostentatiousness, 2 Chainz is all chill, smoothly rhyming 'corridor' with 'Oreo'.

"[7] The Wire was less positive in their review, saying that compared to 'Bang Bang', the song is a "stepdown", adding that "'Burnin' Up' makes it clear Jessie has the recipe down – take one strong vocalist, add popular producer and rap verse, stir.