Omaha police officers were on a street east of Fontenelle Park on Thursday night, about a block from a black sport utility vehicle, when they heard shots.
They turned to see the Chevrolet Tahoe from which the gunman had fired, according to an account provided by the Police Department.
The officers stopped the SUV at 44th and Ruggles Streets, but the driver, the only person inside, got out and ran.
The officers followed. Seconds later, on a street slick with snow, one fired his gun at the man, who was shot several times.
The officers were not injured.
The man was in critical condition at Creighton University Medical Center on Thursday night, police said.
They had not released his name or age early today.
Shayna Ray, captain of the northwest precinct, said police had found a gun at the scene of the shooting, which occurred about 8:15 p.m.
It was not found inside the man's SUV but elsewhere at the scene, a police spokesman said.
After the shooting, a crowd surrounded the officers, and an officer made a distress call that drew backup from three of the city's four precincts. The help-an-officer call was canceled about seven minutes after it was issued.
The man shot on Ruggles Street was the fifth person shot by an Omaha police officer this year. Three have died.
Four of the people have been armed. A fifth was in a passenger seat of a vehicle whose operator drove toward officers, police said. The man shot in that incident had reached toward the floor in the moments before the officer shot him, police have said.
Police did not release the name of the officer who shot the man Thursday night, though that will likely come today.
The shooting was being investigated by a squad drawn from officers in a range of assignments. It was not being investigated by the homicide unit, which has handled officer-involved shootings under previous chiefs.