Canberra-based MP Andrew Leigh has introduced a private member's bill to reverse laws that exempt the ACT Integrity Commission from investigating police.

"This ensures that policing services provided in the ACT have the proper oversight that everybody in the territory would expect to exist," Dr Leigh told parliament on Monday.

The ACT Legislative Assembly is unable to pass laws that would affect the Australian Federal Police, which provides policing services in the capital.

During his speech, Dr Leigh said the prime minister was dodging matters of integrity and a federal anti-corruption watchdog, having described the latter as a fringe issue.

"When asked to support the ACT Integrity Commission ... the Morrison government is again playing a blocking role," Dr Leigh said.

"Canberrans support this parliament and yet it is Canberrans that constantly find that this parliament stands in their way."

He pointed to federal laws that stopped the ACT from legislating on euthanasia, saying the territory should have the same right to govern the issue as other jurisdictions.

Australian Associated Press