"To run the event" means to be in charge or responsible for organizing and managing all aspects of the event, such as planning, logistics, and coordination. Full definition
We are pleased to be the premier security conference for critical infrastructure and one of the longest running events in the nation. (energysec.org)
The board is also running an event for potential academy sponsors to boost the number of good and outstanding schools considering the option. (schoolsweek.co.uk)
Who knows, maybe they'd even pitch in and help you offset the cost of running the event. (remonline.com)