Chris Wood headed his ninth goal in as many matches since joining the Foxes from West Brom at the start of the year before Harry Kane marked his home debut with a goal.
Leicester dominated the first half with goalkeeper Kasper Schmeichel a mere bystander, aside from a stunning save to keep out a Morton Gamst Pedersen volley with the game goalless.
A comparatively quiet second half ended with Andy King heading a third in stoppage time.
After five straight league wins at the turn of the year, it ended a three-game run without a victory and moved the Foxes within five points of second-placed Watford with a game in hand on Gianfranco Zola's team.
- Sports & Recreation
- Kasper Schmeichel
- West Brom