This was written by the Motown songwriting team Eddie Holland, Lamont Dozier
and Brian Holland (Holland/Dozier/Holland). Dozier got the idea for the title after an argument with his girlfriend (she caught him cheating). In the heat of battle, he said, "Baby, please stop. In the name of love - before you break my heart."
He was trying to diffuse the situation, but it didn't help - she was still going to break up with him. So, he asked her to "think it over."
Dozier knew these lines were a bit corny, but thought they would fit well into a song. He was right: "Stop! In the Name of Love" became a huge hit, and when it did, the girl came back to him.