Broad was given the second new ball alongside Steve Harmison
Stuart Broad insists England still have the advantage in the first Test as the West Indies have to bat last on a difficult surface in Jamaica.
Broad took 3-61, including the key wickets of centurion Chris Gayle and Shivnarine Chanderpaul, as the hosts finished day three 34 ahead on 352-7.
"Our job is to knock the last three over, we're very capable of that, and then bat the whole day," said Broad.
"They have to bat last and I hope we can finish them off early."
The uncharacteristically slow Sabina Park pitch made run-scoring a laboured affair, with only 192 runs scored during the day.
With a surface conducive to spin, Broad, along with fellow seamer Andrew Flintoff, stuck at their task impressively.
The 22-year-old, who dismissed captain Gayle and Xavier Marshall in the same over before lunch, said he used his full repertoire of variations on a hot Kingston day.
"It's a very flat wicket, there's no point in bending your back too much because you're not going to get much out of it," Broad told BBC Sport.
"It's about using your skills with slower balls and trying to deceive the batsmen and get the ball moving with different angles of your wrist."
Broad made the crucial breakthrough when he bowled Gayle for 104 just before lunch, ending a industrious 202-run stand with Ramnaresh Sarwan.
It was the skipper's ninth Test century, but more importantly his first at his home ground in Kingston.
"It means a lot to me to score my first century here, it's just unfortunate I couldn't carry on," said Gayle.
"The last game I played here I got a pair so it's nice to give the home crowd something to cheer about.
"Hopefully on Saturday we can continue where we left off.
"We have only got a lead of 34. We are batting really well and would like a nice lead of 60 on this deck."