Whilst on patrol over Winnipeg, the chopper's crew accidentally turned on its loudspeaker allowing members of the public below to hear them.
Those listening say they heard pilots swearing and discussing oral sex.
Winnipeg Police Service say some of the "conversation was inappropriate" and have promised an internal review.
Brandi Armstrong told CBC news that she had been sitting in her garden on Monday evening as the helicopter flew over and was shocked by the exchange.
"My jaw hit the ground; eyes bulged out," she said.
She added that she would like to see the pilots punished. The police say that they are considering disciplinary measures.
Another resident walking near the city's legislature building overhead a different, expletive-laden discussion about money.
The officers were unaware that the loudspeaker was on due to the noise from the helicopter's engine.
Residents listening below began to tweet to the city's police department as the pilots continued talking.

The advocacy group Glaad analysed shows seen or to be shown between June 2016 and May 2017 and counted 278 regular and recurring LGBT characters.
The number of transgender characters has risen from seven to 16 this year.
But Glaad bemoaned the fact that more than 25 lesbian and bisexual female characters died or were killed off.
They include the characters Poussey Washington and Bea Smith, who met violent ends in Orange is the New Black and Wentworth respectively.
The report also found a record high percentage of black characters on broadcast television, thanks mostly to shows like Empire, Luke Cage and How to Get Away with Murder.
Glaad's Where We Are on TV study based its findings on scripted broadcast, cable and streaming series already being shown or for which casting had been confirmed.
Glaad's president Sarah Kate Ellis said it was "heartening to see progress being made" but said numbers were "only part of the story".
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The 18-year-old has established himself in the Wycombe team this season, making 17 appearances in League One.
Harris, who has signed a three-and-a-half year contract, won League Two's apprentice of the year award for the 2010-11 season.
"It's a good deal for all parties," Wycombe manager Gary Waddock told the club's website.
Cardiff manager Malky Mackay has made signing a winger a priority in the January transfer window.
He has failed in his attempts to prize Craig Noone from Brighton, while a bid for Blackpool's wide man Matt Phillips has also been rejected.
Harris broke the record as Wycombe's youngest player when he made his debut in 2009, aged 16 years and 201 days. That record has subsequently been taken from him by Jordan Ibe in 2011, who was 15 years and 244 days when he featured in a Carling Cup tie.
Striker Ibe, now 16, joined Liverpool earlier in the January transfer window.
Waddock added: "Like Jordon Ibe recently, we didn't want to stand in the way of Kadeem and the opportunity for him to play at a higher level.
"I've thoroughly enjoyed working with Kadeem during my time at the club and I wish him every success for the future."
Canadian police have apologised after an explicit conversation was inadvertently broadcast from one of its helicopters.
[NEXT_CONCEPT]
Shows like Transparent mean there are more LGBT (lesbian, gay, bisexual and transgender) characters on US TV than ever before, a report has found.
[NEXT_CONCEPT]
Cardiff City have signed Wycombe Wanderers winger Kadeem Harris for an undisclosed fee.