[6] In Kerrang!, Nick Russell scored Cometh the Storm 4 out of 5, summing up, "when [High on Fire] stampede at you like this, when you can hear their blood pumping and smell their breath, there are few bands on Earth who can match them".

[8] Another 4 out of 5 came from Mandy Scythe of MetalSucks who wrote that "there really isn't a dull moment on this album, as it almost acts as a retrospective of what the band has done so far and takes you through a lot of different crucial eras of their development".

[1] Online retailer Qobuz named this Album of the Week and critic Eli Enis ended that the band "sound as heavy, gnarly, and gloriously sludgy as they ever have".

[2] A June 4 roundup of the best albums of the year so far by Consequence of Sound included this release at 3 and Jon Hadusek called it "all-killer-no-filler [that] is the most inspired and varied record from the sludge metal band in over a decade".

[12] High on Fire Additional personnel Cometh the Storm debuted at 19 on the Billboard Top Hard Rock Albums chart in the United States.