The Civilian Complaint Review Board on Tuesday cleared a purported NYPD “monster” cop of misconduct allegations filed by two Bronx brothers — because the officer had nothing to do with either incident, The Post has learned.

Det. David Terrell was accused of beating one brother and falsely arresting the other, but the CCRB exonerated him of any wrongdoing and removed the complaints from his file, documents show.

A CCRB spokesman confirmed the action, saying: “In the incidents that took place on April 24, 2016, and October 6, 2016, CCRB confirms that Detective Terrell was identified as a subject [officer] but, after a review of the evidence, he was determined to be uninvolved in the incidents.”

Terrell said the evidence included a time sheet showing he didn’t work on the day of the April 2016 incident, and had been stripped of his badge and gun over a domestic dispute, and taken off the streets, by the time of the October incident.

“I was always innocent of these allegations,” Terrell said.

“What’s the consequences for them clearly telling lies? If cops lie on a report, we go to jail. It should be the same for them. There should be a punishment.”

“Mayor de Blasio should step up and do something about this, because these people are going into CCRB and telling lies with no consequences,” he added.

The CCRB rulings followed 36 other cases in which Terrell was slapped with 89 separate accusations of misconduct, including using excessive force, threatening beatings and arrest, and conducting strip searches.

But in only two cases were any of the claims upheld by the CCRB, and only one of those resulted in disciplinary action against, records obtained by The Post show.

The cases the CCRB tossed out on Tuesday were based on allegations that are also contained in civil-rights suits against Terrell, who last month filed a $175 million notice of claim against the city on grounds that its willingness to settle has created a glut of frivolous suits against NYPD cops.

Terrell’s notice of claim came amid a raft of TV, newspaper and online report based on various on allegations against him, including one that branded him a “monster” and “one of the most brutal men in the history of the department.”

One of the dismissed CCRB cases was tied to a suit filed last year in Manhattan federal court by Bronx resident Angelo Cotto, who alleges that Terrell was among at least seven cops who punched and kicked him for arguing with his girlfriend while standing outside 633 E. 169th St. on April 24, 2016.

Cotto — who Terrell has accused of being a member of the Hilltop Gang — also claims that Terrell threatened him with further violence, both at the scene and during questioning later at the 42nd Precinct station house.

In a Bronx Supreme Court suit filed in July, Cotto’s younger brother, Antonio Cotto — who’s identified as “A.R.C.” — alleges that Terrell had two plainclothes cops take him into custody inside a fried-chicken restaurant on Crotona Avenue on Oct. 6.

Antonio also claims that Terrell later laughed at him from outside a holding cell, then filled out paperwork falsely charging him with menacing, harassment and criminal possession of a weapon.

All the charges were later dismissed, according to the suit.

A lawyer representing the Cotto brothers downplayed the potential impact of the CCRB rulings on their suits against Terrell.

“Just because he wasn’t present for something, if he wasn’t present, doesn’t mean he wasn’t involved,” lawyer John Scola said.

“The 42nd Precinct is a small place and they take care of their own.”

Scola also said a third Cotto brother was currently awaiting trial in an attempted-murder case in which Terrell was involved in the arrest.

“There’s a pattern of harassment by Terrell with that family. If he wasn’t there for one of the incidents, that doesn’t disprove the rest of them,” Scola said.

Austin Finan, spokesman for the mayor’s office, said the CCRB conducts an “exhaustive investigation” of every complaint and added, “That thorough investigative process is the ultimate protection against baseless complaints.”