The Australian share market has finished broadly higher with all sectors posting gains.

The benchmark S&P/ASX200 index was up 33.4 points, or 0.5 per cent, to 6,724.6 points at 1615 AEST on Tuesday, while the broader All Ordinaries was up 31.3 points, or 0.46 per cent, to 6,812.5 points.

The Aussie dollar is buying 70.21 US cents, from 70.34 US cents on Monday.