Investors' optimism also stemmed from strong US jobs data and comments by Federal Reserve Chairman Jerome Powell that he would be patient and flexible with policy decisions this year.
The S&P/ASX 200 index rose 0.7 percent or 39.20 points to 5,722.40 at the close of trade. The benchmark had gained over 1 percent on Monday.
New Zealand's benchmark S&P/NZX 50 index rose 0.17 percent or 15.11 points to finish the session at 8,821.150.
Fletcher Building Ltd rose 1.6 percent while dairy processor Synlait Milk Ltd advanced 1.1 percent.
Energy stocks tacked on 0.7 percent at close to touch an over 1-month high, with sector heavyweight Woodside Petroleum Ltd up 0.7 percent and Origin Energy Ltd firming 2.8 percent.