The Cumberland Arms is the closest gastropub to Olympia London, just across the road at the top of North End Road.

You'll discover a delicious menu of Modern British, Mediterranean dishes, great ales and a wine list to die for. The atmosphere is the perfect balance between genuine pub and a pleasant place to eat.

You can also reserve an area for larger gatherings - just contact them. 

Harden's London Restaurants put it well:

A pleasant, no-fuss pub near Olympia London, with very helpful and smiley service and grub that’s a cut above.

The Cumberland Arms is a delight and highly recommended.