Information about the death of lawyer Leonid Pšelincev was confirmed by spokeswoman of the Lithuanian Bar Association Ieva Paliliūnienė.
The incident happened at around 10:15 a.m. at the address on Vasario 16-osios Street in Vilnius.
The police have not confirmed the death of the lawyer but stated that a body was found in a flat.
Two police officers suffered gunshot wounds and were taken to hospital. A suspect was detained.
Parliament Speaker Viktorija Čmilytė-Nielsen described the incident as a shocking outburst of violence.
In a post on the social network Facebook she wished the wounded officers a fast recovery and hoped that law enforcement would promptly investigate the incident.
Earlier, spokesman of the Police Department Ramūnas Matonis said that the police were called in to evict a person but the suspect opened fire at the officers.
Two officers sustained gunshot wounds. The policeman was shot in the chest and the policewoman in a leg.
Minister of the Interior Agnė Bilotaitė will hold a press conference at 1 p.m.