A police constable received bullet injury was shot in a gunfight between police and terrorists in Ganakpara area of the district on Wednesday afternoon.
The victim, identified as Zia (30), was admitted at Munshiganj General Hospital.
Police also arrested two criminals, Kana Sumon (33) and Jewel.
Sadar Thana Sub-Inspector Zulmat Hossain said that police conducted a drive in Ganakpara area to arrest Kana Sumon, an enlisted criminal.
Kana Sumon and his aides fired bullets targeting police and, in response, police fired back as a defense.
Police constable Zia received bullet injury in his left hand during the gunfight, he added.
On information, additional police forces rushed to the area and rescued Zia. Later, police detained Kana Sumon and Jewel but the other aides managed to flee the scene.
Munshiganj Police Super Biplob Bijoy Talukder said that the procedure to file a case is under process.
Police will continue their drives to arrest the other aides, he added.