Burke netted in either half to give the Blues a 2-1 win over Forest at St Andrew's on Saturday.
Back-to-back wins have moved Birmingham up to 16th in the Championship table, and Clarke is delighted with his side's recent form.
"It's always about winning," said Clarke. "We've had a lot of draws so it's great to get back-to-back wins. Let's hope we can kick on.
"Chris Burke is in terrific form at the moment and he was more than worthy of being today's match winner. He's a top player."
Birmingham travel to Charlton Athletic next weekend.