In the event dashboard click on "Content" from the side bar.

Select the “Engagement” Page. This will list all engagement items, including published video contests.

Find the published video contest you want to view the responses for and click on “Responses” on the video contest card. 

This will take you to the video contest responses page. To export all the responses for the video contest , click on the download icon on the top right to export all responses. 

You can select a specific time range or choose to expose everything.

How to view and export responses to your video contest?