One-eyed Dale Cregan has admitted the murders of Pc Fiona Bone and Pc Nicola Hughes in a dramatic change of plea at Preston Crown Court.
He still denies murdering father and son David and Mark Short.
There are nine co-accused also standing trial at Preston Crown Court, whose charges include murder and attempted murder of the father and son.
On February 8, the prosecution told jurors that Cregan drove to Hyde Police Station, telephoning his girlfriend Georgia Merriman on the way.
He walked up to the counter clerk and said: "I'm wanted by the police and I've just done two coppers."
Cregan put his arms out to be handcuffed and said he was there to hand himself in.
Cregan then told an officer: "I dropped the gun at the scene and I've murdered two police officers. You were hounding my family so I took it out on yous."
He later added he was "... sorry about those two that have been killed, I wish it was men...".
In custody Cregan later gave a series of "no comment" interviews when questioned by police, the jury heard.