By Steve Luckings
Last Updated: 01/01/70 1:00am
The first half finished with neither side bothering the net before French winger Didier Agathe broke the deadlock on 55 minutes.
Ten minutes later it was name of burly Welsh hit-man John Hartson on the scoresheet before Henrik Larsson (76) and Stephen Pearson, a minute later, made it 4-0 to The Bhoys.
Killie pulled a goal back through Eric Skora on 84 minutes, before Hartson rounded off proceedings with his second on 89.
Dundee United saw off Dunfermline Athletic at Tannadice Park with a 1-0 scoreline.
Jim McIntyre scored the only goal of the game on 57 minutes to gift United all three points.
Hibernian came from a goal down to snatch a point against Dundee at Easter Road.
The first half looked to be ending goalless until Mark Fotheringham popped up with a goal on 44 minutes to send the visitors in to a 1-0 half time lead.
However, with 20 minutes remaining, Derek Riordan was confident enough to convert a penalty to ensure a share of the spoils.
Livingston's match against Hearts and Motherwell's encounter with Aberdeen were both called off due to waterlogged pitches.