MPs Radosław Fogiel and Andrzej Śliwka said the inspection would examine how police operations were planned, who ordered officers to be deployed and how the police communicated with representatives of the prime minister's office.
Fogiel said they wanted to establish who was responsible for the operation.
Interior Ministry spokeswoman Karolina Gałecka said police were not breaking any laws and were carrying out their duties within their powers.
She said involving the police in political disputes served neither the force nor public safety.
She added that the MPs would be received and their questions answered.
Fogiel accused Prime Minister Donald Tusk's government of using armed police units to "take over and occupy an independent institution."
He said Tusk and Interior Minister Marcin Kierwiński bore political responsibility.
He also told police officers they had the right to refuse unlawful orders.
Gałecka rejected the claim that the Tribunal was occupied.
Responding to Fogiel's remarks about refusing unlawful orders, she said police officers were not breaking any laws and warned that such statements could undermine public trust in the uniformed services.
The dispute follows events on Friday when representatives of a group elected by the current parliament to serve as Constitutional Tribunal judges announced that Anna Korwin-Piotrowska would lead the Tribunal.
She issued an order suspending the duties of Tribunal head Bogdan Święczkowski and his deputy Bartłomiej Sochański. Protests outside the Tribunal subsequently intensified.
Warsaw police said on Friday evening that officers were carrying out statutory duties at the Tribunal after Korwin-Piotrowska reported a possible threat to the safety of judges and staff.
On Sunday, Polish police chief Marek Boroń said officers had been present to protect people inside the Tribunal and those gathered outside.
He also said their actions complied with the law and added that police were not a party to any dispute but were responsible for ensuring public safety.
(sp/gs)
Source: PAP