Kohli's century was crucial in India's big 102-run win as it helped the side score a huge 311 for seven.
Kohli said the knock was important for him since his inability to convert the good starts into big ones was haunting him but India getting a bonus point was more crucial.
"More than that (century), I am happy we won with a bonus point," Kohli, who was adjudged Man-of-the-Match, said after India's resounding win.
"It was my second game as captain and got a century. I was getting good starts, but hitting that one shot straight to the fielder, so I was waiting for this big innings," he said when asked about his performance while captaining the side.
More From This Section
"We got a good start. It's a bit of a tricky situation if you go in after a good start. You don't know whether to play yourself in or keep going at the same run rate. To get a hundred in my second game as captain, I am pretty happy," he said.
West Indies were favourites to enter the final after two consecutive wins but Indian win has opened the tournament and Kohli said it was natural to happen.
"When you have three good teams competing you can have those turns around.