The Australian share market has closed down for a third day, its first three-day losing streak since late May.

The benchmark S&P/ASX200 index finished down 12 points, or 0.18 per cent, to 6,641 points at 1615 AEST on Tuesday, while the broader All Ordinaries was down 10.4 points, or 0.15 per cent, to 6,735.8.

The Aussie dollar is buying 70.34 US cents, from 70.33 US cents on Monday.