In the segment, Davidson was taking jabs at various candidates running for office in the midterm elections. He even ended the bit by taking shots at his own appearance.
But many viewers seemed to be offended by his comments about congressional candidate Crenshaw, a former Navy SEAL who lost an eye while serving in Afghanistan.
A photo of Crenshaw was shown, then Davidson said: "You may be surprised to hear he's a congressional candidate in Texas and not a hitman in a porno movie. I'm sorry, I know he lost his eye in war, or whatever. Whatever."
A number of conservative media folk responded on Twitter, shaming the joke.
Please RT this list of @nbcsnl sponsors with social media and contact links.— John Cardillo (@johncardillo) November 4, 2018
Let them know how you feel about Pete Davidson mocking wounded warriors.
TV Shows: Saturday Night Live (NBC) https://t.co/CVEp8eiyfW
Remember when political comedy was funny and people like Pete Davidson and Saturday Night Live didn't have to resort to making fun of someone who lost their eye literally fighting terrorists? https://t.co/egVKx12Au5— Paul Joseph Watson (@PrisonPlanet) November 4, 2018
Crenshaw himself tweeted about the joke, saying that veterans' injuries shouldn't be the "punchlines for bad jokes."
Good rule in life: I try hard not to offend; I try harder not to be offended. That being said, I hope @nbcsnl recognizes that vets don't deserve to see their wounds used as punchlines for bad jokes.— Dan Crenshaw (@DanCrenshawTX) November 4, 2018
Davidson's fellow SNL star Kenan Thompson has since spoken out about the controversial joke. He appeared on Today this morning, and said that the joke "definitely missed the mark."
"I personally would never necessarily go there, but it's tough when you're fishing for jokes," he added, before describing Davidson as "a humble dude and has got a big heart and I don't think he goes out to offend people."
The backlash against Davidson isn't the only criticism NBC is facing after the weekend. Many have spoken out against a racist midterm election ad approved by Donald Trump that aired on NBC during Sunday Night Football.
Unsurprisingly, that criticism is coming from a very different Twitter demographic than those up in arms over Davidson's joke.
NBC has since stopped airing the ad, following in the footsteps of CNN. Even Fox News has removed the commercial from its network.