Foran forced home David Raven's 76th-minute cross to double Caley Thistle's lead and put the game beyond a Hibs team lacking inspiration at the Tulloch Caledonian Stadium.
Ross Draper headed Inverness in front from Graeme Shinnie's free-kick 13 minutes into an otherwise uneventful first half.
But Inverness dominated more as the game progressed, looking sharper in possession and more assured in defence than their opponents.
Billy McKay rounded off a deserved win with the goal of the game three minutes from time when he headed home Aaron Doran's cross after earlier bringing the winger into play.
Inverness leapfrogged Hibs and stayed three points behind Celtic with their third consecutive SPL win - the previous victories came at Celtic Park and Aberdeen - and the club swept the boards in the Clydesdale Bank monthly awards with McKay, Doran and manager Terry Butcher taking the acclaim.
Inverness have set high standards and Foran admits even beating second-placed Hibs at half-time fell short.
"The first half there was nothing in it," he said. "I thought we had that little more fight. It was a gritty game, I didn't enjoy the first half at all. But we went in 1-0 up and that shows what we are used to.
"We are playing some brilliant football and I'm loving it. The second half we played some very, very good football.
"We were catching them on the break, Aaron Doran and Andrew Shinnie were getting in behind them down the sides. We stepped it up and it was well deserved. I didn't think Hibs had an answer."