The processes would bar anyone on a terrorist watch list from purchasing firearms.
He passionately said: "When you attack one American, you attack us all!"
He added: "We don't want terrorists to be able to walk into a gun store and buy a gun!"
Murphy took office a month after the Sandy Hook massacre, which occured in his state. Since begining his term in January 2013, he has pushed for harder gun control measures.
The senator closed the filibuster by saying: "I have been furious since those days following Sandy Hook. I have been so angry that this Congress has mustered absolutely no response to mass shooting after mass shooting, in city after city that is plagued by gun violence."
Murphy stopped speaking when Republicans agreed to allow a vote.
The senator announced the news at almost 2 a.m. Thursday morning.
I am proud to announce that after 14+ hours on the floor, we will have a vote on closing the terror gap & universal background checks— Chris Murphy (@ChrisMurphyCT) June 16, 2016
When he woke up, he was back at it again, tweeting:
15 hrs on the floor. 2 hrs of sleep. And I'm back on my (tired) feet, ready to keep pressing Congress to end its silence on gun violence.— Chris Murphy (@ChrisMurphyCT) June 16, 2016
Murphy may have an unlikely ally in Donald Trump, who tweeted: “I will be meeting with the NRA, who has endorsed me, about not allowing people on the terrorist watch list, or the no fly list, to buy guns.”