For his work on television Driver has received four Primetime Emmy Award nominations. He received three nominations for his performance in "Girls" from 2013, 2014, and 2015, in the Outstanding Supporting Actor in a Comedy Series category. In 2020, he also received a nomination for Outstanding Guest Actor in a Comedy Series for his guest hosting role on "Saturday Night Live". For his work in film, he has been nominated twice for an Academy Award, for his performances in Spike Lee's "BlacKkKlansman" (2018), and Noah Baumbach's "Marriage Story" (2019). He also received British Academy Film Award, Golden Globe Award, and Screen Actors Guild Award (SAG) nominations for those films as well. He also received a SAG Award nomination for Outstanding Performance by a Cast in a Motion Picture as a part of the ensemble of Steven Spielberg's "Lincoln". In 2019, for his work in theater he received a Tony Award nomination for Best Actor in a Play for his performance in "Burn This" at the 73rd Tony Awards.