FERGUSON, Mo. — Early one morning in September 2011, an unarmed 31-year-old black man ran down a residential street here yelling at cars while he pounded his hands on them.

“God is good,” the man, Jason Moore, said. “I am Jesus.”

The first officer to approach Mr. Moore told him to raise his hands and walk toward him, according to a police report on the episode. But Mr. Moore, whose family said he was mentally ill, started running toward the officer “in an aggressive manner while swinging his fist in a pinwheel motion,” the officer said in the report. And when he failed to obey commands to get on the ground, the officer took out his Taser gun and fired it at him, the report said.

Mr. Moore fell to the ground, but after he tried to get up, the officer fired the Taser twice more into him. Mr. Moore let out a raspy sound and stopped breathing. He was pronounced dead soon after.

Mr. Moore’s death and how it was handled by the Ferguson Police Department are now receiving renewed scrutiny after one of the department’s officers, Darren Wilson, killed Michael Brown, an unarmed 18-year old, on Aug. 9. On Tuesday, relatives of Mr. Moore filed two lawsuits against the Police Department in federal court, saying that the department wrongfully killed him. The suit was one of several filed in recent years that raised questions about excessive use of force or civil rights violations by the Ferguson Police Department.