The Metropolitan Police said they were alerted to a man flying a drone over the All England Lawn Tennis Club from a nearby golf course yesterday.
The force said it was an offence to fly a drone "within 50 metres of a structure.
Officers are investigating the incident and enquiries are continuing, the police said.
"It is an offence to fly a drone within 50 metres of a structure. Anyone intending to fly a drone should give prior consideration to the surrounding landscape and any structures or venues," Inspector Roger Robinson said.
Roger Federer, Andy Murray, Rafael Nadal, Serena Williams and Maria Sharapova were among the top stars participating in the tournament.
Britain's Murray will begin his bid to reclaim the Wimbledon title when the tournament starts tomorrow.