The fatal crash of a Blue Angels jet during a practice run in Tennessee prompted a San Francisco supervisor to say Friday that the Navy’s aerial stunt team should be barred from flying over the city when it performs here during Fleet Week in October.

Supervisor John Avalos said he plans to introduce a nonbinding resolution by August that would demand that the team of six F/A-18 fighter jets fly only over the bay during its practices and air shows.

“It’s about them crashing and hitting a building — a place where people live,” Avalos said. “It’s about the terror that they cause in people when they strafe neighborhoods. That’s something I hear about all the time when Blue Angels fly overhead.”

He added, “Flying over sailboats that choose to be about in the bay when the Blue Angels are flying — I don’t really have a problem with that.”

Avalos conceded, however, that his resolution probably wouldn’t pass the board. In 2007, as a staffer for then-Supervisor Chris Daly, he crafted a similar resolution for his boss after a fatal Blue Angels crash at an air show in South Carolina. The resolution failed to make it out of committee.

“It seems like there is a lot of support for the Blue Angels every year despite the obvious risk of flying over the city,” Avalos said.

The crash Thursday occurred during a practice for a Blue Angels air show at the Smyrna, Tenn., airport outside Nashville. The pilot, Marine Capt. Jeff Kuss, was killed. No one on the ground was hurt.

The Navy is taking the lead in the crash investigation. Lt. Clinton Beaird said the show scheduled for this weekend has been canceled, and that the Navy will make a decision next week about whether to cancel future shows.

The crash was the Blue Angels’ first since the South Carolina accident. The team briefly stopped flying after that incident, but resumed its regular schedule within two months. A Navy investigation found that the pilot in the 2007 crash had attempted a sharp turn too close to the ground.

Supervisor Eric Mar said he would support Avalos’ proposed resolution. He said he recognized that many people enjoy the Blue Angels’ shows — thousands crowd onto the waterfront for the Fleet Week performances — but that “the potential dangers, the question of how much it really brings into the city,” outweigh the benefits.

Also, said Mar, the spectacle “goes against the values of peace that San Francisco stands for. ... They promote militarism, and I don’t think a city like ours should be promoting that.”

Supervisor Aaron Peskin voted against the 2007 measure and said he would vote against this one as well.

“I am the District Three supervisor,” he said. “It’s a huge economic boon to District Three every year and the majority of my constituents like it.”

Board President London Breed said she would wait for the results of the investigation into the Tennessee crash before deciding how to vote.

Emily Green is a San Francisco Chronicle staff writer. Email: egreen@sfchronicle.com Twitter: emilytgreen