Five Democratic members of Congress called on Friday for the Justice Department to investigate a case in which a Florida man who shot and killed another man during an argument over a parking space was not arrested or charged by the sheriff’s office.

The sheriff of Pinellas County cited Florida’s so-called Stand Your Ground law in declining to charge Michael Drejka, who the authorities say shot Markeis McGlockton last week in the parking lot outside a convenience store in Clearwater, Fla.

Mr. Drejka initiated a heated argument with Mr. McGlockton’s girlfriend on July 19, over whether she was permitted to park in a handicapped parking space, Sheriff Bob Gualtieri of Pinellas County said at a news conference the next day. Mr. Drejka, who is white, eventually shot and killed Mr. McGlockton, who was black, reigniting debate over the Florida law.

In a letter sent to Attorney General Jeff Sessions on Friday, Senator Bill Nelson, Democrat of Florida, asked the Justice Department to open an investigation into the killing of Mr. McGlockton. Senators Kamala D. Harris of California and Cory Booker of New Jersey also signed onto the letter, as did two Florida members of the House of Representatives, Charlie Crist and Alcee L. Hastings.