Jeannie Rhee, with special counsel Robert Mueller's team, said Cohen has been honest.
"He has told the truth," she told the court.
Last week, the special counsel's team released a memo about Cohen saying he has cooperated with its inquiries.
After Rhee spoke, Assistant US Attorney Nicholas Roos addressed the court on behalf of the US Attorney's Office for the Southern District of New York.
"For all the hypothesizing that Mr. Petrillo has done, Mr. Cohen can’t have it both ways," he said, referencing Cohen's lawyer, Guy Petrillo's speech to the court. "There is a standard way this office conducts cooperation."
He added: "We’ve treated Mr. Cohen just the way we treat every other defendant that deal with the us attorney's office."
The Manhattan US attorney's office has asked for Cohen to receive a "substantial" sentence of roughly four years. However, Cohen and his legal team has asked for no prison time, citing his cooperation with multiple investigations — including the special counsel's Russia probe.