Lehmann criticised Broad for failing to walk after being caught out during the first Ashes Test at Trent Bridge before encouraging Australian fans to make him "cry" during the upcoming series Down Under.
Broad tweeted: "Spoke to Darren Lehmann last night. He apologised for his comments, I accepted it. He said they were made in Jest for banter. Done."
This summer's Ashes series concluded on Sunday with a thrilling draw between the sides at The Oval as England ran out 3-0 winners overall.