The visitors had the chance to take a third minute lead when Gary McSheffrey was felled in the area, but John Fleck saw his penalty cannon back off the post.
Caley showed him how to do it in the 19th minute - Richie Foran clinically converting from the spot to secure a half-time lead for the Scottish Premier League side.
It got worse for the visitors early in the second half - Joe Murphy failing to hold on to a shot and Billy McKay pouncing to double the Inverness advantage.
Shaun Jeffers reduced the deficit with a smart finish but two minutes into stoppage time, Jason Oswell wrapped up the victory with an Inverness third.
Scottish Premier League Winner Celtic v Field 12/13. Click here to bet.
