The hosts stormed into a 5-0 lead after 19 minutes with Colin Shields, Mike Radja, James Desmarais, Mike Forney and Matt Nickerson on target.
David Rutherford pulled one back and Trevor Gerling gave the Scots hope by netting early in the second period.
Rutherford made it 5-3 before Mike Wilson sealed the points for Belfast.
Nottingham Panthers and Cardiff Devils both trail the Giants by three points but they have played fewer games.
Belfast take on the Devils in Cardiff on Saturday night in a top-of-the table showdown before facing Dundee Stars at the SSE Arena on Sunday.
Belfast Giants have moved three points clear at the top of the Elite League thanks to a 6-3 victory over Edinburgh Capitals at the SSE Arena.