The Yeadon-based nationwide charity said it was hopeful of beating last year’s fund-raising total of £38,000.
The event attracts elite runners from across Yorkshire and beyond.
Its relatively flat course, which begins and ends in Centenary Square in the city centre, is popular with runners seeking to improve their personal best time.
The first over the line, in a time of 32 minutes and 31 seconds, was Matthew Clough of Leeds City Athletic Club, one of West Yorkshire’s most successful clubs.
Second was Ben Crowther of Halifax Harriers with a time of 33:45. Gabriel Gunnink was third with a time of 34:07.
The fastest woman was Margaret Beever of Stainland Lions Running Club who came home in 39:02. Second was Alison Campbell of Sheffield University in 39:10 and third was Julie Bucknell in 40:30.
A spokeswoman for Epilepsy Action, Aimee Gee, said: “This is one of our biggest fund-raising events of the year. We are delighted with the turnout.
“The money will go towards our services for people with epilepsy, our helpline, website and towards providing all our advice and information.”
She thanked the main sponsor Sovereign Healthcare.