Chelsea had dropped to fifth in the table after losing two of their previous three league games - a run that included reverses against rivals Liverpool and Arsenal - but they returned to winning ways at home today thanks to goals from John Terry, Daniel Sturridge and Juan Mata.
"I think we can (win the title). We have most of the same players (who have won the title before)," Villas-Boas said.
"We have the talent and belief will be the last thing to die with us.
"Man City play tomorrow in a difficult game (at Liverpool).
"It's difficult for us to look at a distant leader.
"In the past we have seen examples of us shortening distances but for that example to serve as inspiration we need to get the winning streak back like we did last year."