The Conservative leader of Dartford Borough Council has announced he is resigning with immediate effect.
Kenneth Leadbeater said he was under "great pressure" as leader
Councillor Kenneth Leadbeater, 50, said in a statement on Monday it was time to "concentrate on other things".
It comes a week after Mr Leadbeater was questioned over child pornography allegations by police.
A spokeswoman for Kent Police said: "A 50-year-old man was interviewed during an investigation into computer-related crime".
She said the man attended a police station voluntarily on 13 February and the investigation was continuing.
Mr Leadbeater, who represents Heath ward, had been leader of the council since 2003.
"Leading a council like Dartford is hugely satisfying but the role carries enormous responsibility and places great pressure on anyone called to do it," he said in a statement.
"I have relished the challenges of the job for some years now and have worked alongside some enormously talented colleagues and officers but it is time to step down to concentrate on other things."
Deputy leader of the council Jeremy Kite is to take over until a permanent successor to Mr Leadbeater is found.
Neither the council nor Mr Leadbeater have commented on the police investigation.