Brett Lee continued from where he left off the previous day, when he collected two wickets before lunch to carry Australia closer to victory in the second Test and the series against West Indies on Tuesday.
At the interval, West Indies, set 372 for victory, reached 95 for three in their second innings with their captain Ramnaresh Sarwan not out on 64 and first innings centurion Shivnarine Chanderpaul not out on five.
This followed Australia's decision to declare their second innings at their bedtime total of 244 for six.
Lee then tightened Australia's grip on the match, when he removed opener Devon Smith for a duck in his opening spell, and returned to add the scalp of Runako Morton for 14.
The Aussie tearaway fast bowler has so far snared two wickets for 11 runs from eight overs to follow up his first innings bowling performance of five for 59.
Lee had softened Smith up, when he struck him on the right arm with a short, rising ball, and then took his wicket a few balls later, when the left-handed opener was caught at gully guiding another lifting delivery pitched outside the off-stump.
After Stuart Clark had Xavier Marshall caught behind gloving a rising ball for five, Lee returned for a second spell and trapped Morton lbw with a full-length delivery to which the batsman played back and across.
Australia lead the three-Test series 1-0, after they completed a 95-run victory in the opening Test last Monday at Sabina Park in Kingston, Jamaica.
Australia have won 13 of the last 14 Tests they have contested against West Indies and need only a draw to secure their hold on the Frank Worrell Trophy - symbol of Test supremacy against West Indies. The Aussies have not lost a Test series in the Caribbean since 1991.
The third and final Test between the two sides starts on June 12 at Kensington Oval in Barbados.