Christopher Halliwell, 52, is accused of murdering Becky Godden, 20, between 2003 and 2005.
The taxi driver is currently serving a life sentence for the murder of office worker Sian O’Callaghan, who disappeared after a night out in Swindon in 2011.
Halliwell, who is defending himself, told former detective superintendent Stephen Fulcher at the end of his cross examination: “Oh, and by the way, it was a pleasure ruining your career, you corrupt b*****d.”
Bristol Crown Court heard that Mr Fulcher, who is now a consultant in Somalia, was leading the hunt for Miss O’Callaghan.
He confirmed that Halliwell’s taxi was caught on CCTV close to where Miss O’Callaghan was last seen and Halliwell was put under “covert surveillance” and later arrested.
Halliwell then took Mr Fulcher to a site where Miss O’Callaghan’s body was found.
Mr Fulcher told jurors that it was explained to Halliwell that he’d be “given his rights” and Halliwell said: “We need to have a chat.”
They, along with two other police employees, drove to a second location where Halliwell indicated there was another body and he could show them “the exact spot”.
Mr Fulcher said Halliwell said: “I know you’re not a psychiatrist but what is f****** wrong? Normal people don’t go round killing people.”
Later, Mr Fulcher asked: “Only these two?”
He says Halliwell replied: “Isn’t that enough?”
“Yes it is,” he answered.
Mr Fulcher said Halliwell described picking up a prostitute in “2003, 4 or 5”, they had sex, and he “killed her by strangling” and left her body by a wall.
Mr Fulcher claims Halliwell said: “I can’t explain myself. I don’t think I’ll be getting community service.”
Mr Fulcher then asked: “Are there others?”
He said Halliwell confirmed “no”.
Miss Godden’s body was found 10 metres away from the location Mr Fulcher says Halliwell identified.
Halliwell told Mr Fulcher in court that regarding the details of the confession, “basically you’ve got it wrong, I never said that”.
Earlier, Halliwell’s GP told the court about an appointment on 3 January 2003.
Dr Phillip Mayer said he remembered Halliwell complaining about a sore hand. He claimed he had been assaulted by a male passenger.
The doctor said he also recorded that Halliwell had scratches on his face.
Halliwell denies the murder of Miss Godden.
The trial continues.
News Source SkyNews