Vice Mayor Christopher Smitherman, the chairman of Cincinnati’s Law and Public Safety Committee, said he was introducing legislation on Wednesday that proposes raising the minimum age for Taser use by officers to 12. He also asked for a “comprehensive look at all of the Tasing episodes involving minor children” over the last two years and a “complete review of all Tasing policies.”

During the episode on Monday, the 11-year-old girl was accompanied by several young women who were all “allegedly stealing items from the store,” a spokesman for the Cincinnati police said in a statement.

A police report identified the officer as Kevin D. Brown, 55. He has been placed on desk duty, Mr. Smitherman said.

When the officer approached one of the girls, she continued to walk away, “ignoring several commands to stop,” the statement said. At that point, the officer shot the 11-year-old in the back with his stun gun, the police said. She was taken to Cincinnati Children’s Hospital Medical Center and later released. The police charged her with theft and obstructing official business.

But on Wednesday, Mayor John Cranley said in a statement that he had asked the prosecutor for Hamilton County, where Cincinnati is located, to drop both charges.

“I’m happy to report that he did and I thank for him doing so,” Mr. Cranley said.

A spokesman for the Cincinnati Police Department did not return phone calls or respond to emails requesting additional information.

Mr. Smitherman said the officer’s body camera was not activated or did not work. “We’re trying to pull the film from Kroger,” he said.