Untitled (Rise) received universal acclaim reviews from critics noted at review aggregator Metacritic. It has a weighted average score of 93 out of 100, based on six reviews.Alexis Petridis of The Guardian gave the album five out of five stars, saying that Sault had released the best album of the year again, following Untitled (Black Is) and points out the exceptional musicianship, writing that the album "hardly yields highlights because the quality never wavers: whoever’s involved, it feels like they’ve been galvanised to the top of their game". Jem Aswad of Variety accentuates how timely the work is, with the worldwide response to the George Floyd protests and struggles of black peoples in the United States and United Kingdom, writing, "Sault seduces listeners, drawing them in with beautiful sounds, and then hits them with uncompromisingly direct lyrics and messages that startle them into thinking about things they might not normally think about... [their music] is definitively 2020, by, for and about these times". In Clash, Robin Murray gave this album nine out of 10, also noting how the lyrics discuss contemporaneous issues, noting the diverse musical influences, from Brazilian rhythm to 1980s "boogie shimmer". Jeremy Monroe of Beats Per Minute scored this 81 out of 100, calling listening to Untitled (Rise) a "thrilling experience" with a spiritual dimension. Gordon Rutherford of Louder Than War gave this 4.5 out of five bombs, calling it a "another stab at winning the award for album of the year", following Untitled (Black Is). Reviewing the album for AllMusic, Andy Kellman felt that it was Sault's "most striking and affecting work yet."
In 2021, the album was shortlisted for 'Album of the Year', by the Mercury Prize Awards.