Police arrested 31 people on Saturday, including a protester who was detained after entering the racecourse.
“We absolutely support people’s rights to peacefully protest, but we differentiate between this and unacceptable criminal behaviour,” said Chief Superintendent Clive Davies.
Auguste Rodin, ridden by Ryan Moore, won the 244th Epsom Derby.
Last year’s Epsom Derby was delayed after six protesters from Animal Rising, then named Animal Rebellion, entered the course and had to be removed by the police.
(Reporting by Aadi Nair in Nashik, India; Editing by Angus MacSwan in London.)