Slain NYPD Officer Randolph Holder’s fiancée was stunned to hear that the Rev. Al Sharpton was asked to speak at his funeral — because the policeman detested the anti-cop preacher, she told The Post on Monday.

“He didn’t like [Sharpton]. He wasn’t a fan. So I don’t know why [Sharpton] is speaking,’’ Mary Muhammad said.

Sharpton claims that he met with Holder’s father and that the dad asked him to speak at Wednesday’s service.

On Saturday, Sharpton made a condolence call at the elder Holder’s home in Far Rockaway and tweeted a photo of himself with Holder and other family members.

“[Sharpton] was asked by Officer Holder’s father, and he’s expected to speak,” Sharpton rep John Weinstein said Monday.

But law-enforcement sources said Holder’s dad, Randolph Sr., called the NYPD on Monday morning — after news of Sharpton’s supposed invite broke — to tell them he invited the preacher only to attend the funeral, not to address mourners.

The sources added that Sharpton would not be speaking at the service.

Sharpton dodged questions from The Post on Monday afternoon, saying, “An invitation was extended. And I’m not addressing it ’til Wednesday.

“I have not been briefed on what’s going on,” he said regarding the conflicting accounts.

“None of those sources have been involved in what I know . . . I really don’t want to get into this issue.”

The elder Holder, who was a cop in his native Guyana, refused to comment about Sharpton to a Post reporter.

He also shook his head and waved his index finger when told about Muhammad’s remarks.

The plan to have Sharpton address mourners at Holder’s funeral outraged the NYPD’s rank-and-file because of the activist minister’s history of leading protest rallies against alleged police racism and brutality.

“The service needs to be a remembrance of Officer Holder and the sacrifices he made to make this a safer city,” one cop said.

“If Sharpton spoke, the spotlight would be on him, and it would not be on Officer Holder.”

Additional reporting by Shawn Cohen, Jamie Schram, Leonica Valentine and Tina Moore