Virginia State Police spokeswoman Corinne Geller identified the shooter as James Brown III, of Aurora, Ill.
Police did not give a motive for the shooting. Brown shot Trooper Chad P. Dermyer, 37, multiple times Thursday in Richmond before he was killed by two other troopers, police said.
Dermyer had been participating with about a dozen other troopers in a training exercise at the bus station when a brief encounter with the gunman quickly turned violent, police said.
Two women also were shot but were expected to recover.
Their names haven’t been released, but spokesman Ryan Yarosh with Binghamton University in New York said Friday that one of the women was a member of the school’s track team.
The team was headed Thursday to a meet at the College of William and Mary in Williamsburg, about 50 miles from Richmond.
Police say the slain trooper, the father of two children, was a native of Jackson, Michigan, and a former Marine who had served on the force in Jackson and Newport News, Virginia.
Earlier this year, Dermyer and another trooper briefly became mini-celebrities when they rescued a lost dog running through interstate traffic in Hampton.
The rescue was highlighted on WVEC TV and received widespread praise on social media.
Dermyer and his partner returned the dog, a miniature schnauzer named Pinta, to its owner Jeffrey Corbin.
Corbin said Friday the brief meeting helped change his perception of state troopers. “I don’t have a lot of contact with state troopers, but in my mind’s eye they seem to be all business,” Corbin said. “But he seemed to be a really warm person. … He had a warm persona about him.”
Dermyer grew up in Michigan and kept in touch with friends there, visiting last summer, The Jackson Citizen Patriot (http://bit.ly/1q97IK0 ) reported.
Matt Miller of Jackson, about 80 miles west of Detroit, said he played soccer with Dermyer since they were children.
He described Dermyer as a good guy and a strong athlete.
Dermyer was dressed in a fatigue-style uniform and was not wearing a protective vest when he was shot, said Virginia State Police Superintendent Col. Steven Flaherty.
“We’ve got a lot of evidence to sift through,” Flaherty said.
The evidence, he said, included bags that could have belonged to the Brown.