On the third day, Tasmania, after being attacked for batting too slowly, was in a strong position after declaring its innings closed at 402 for four in reply to Queensland's 400 for eight declared.
The Tasmanians were also on the front foot in Queensland's second innings, with a triumphant Shane Watson returning to bowling after a year-long rest to claim Queensland's former Test batsmen Martin Love and Stuart Law.
Queensland was 140 for four at stumps in its second innings, leading Tasmania by 138 overall, with newcomer Craig Philipson unbeaten on 23 and James Hopes 30.
Watson snared Love, caught at first slip by skipper Dan Marsh for 11 in his second over, later bowling Law for 45 in his fourth over. He finished the day with 2-23 off six overs.
Earlier, Tasmania's Michael Dighton broke a two-year drought to post 127 against Queensland, guaranteeing his side two first innings points.
Martin Love hits ton for Queensland