The Australian share market has fallen for the fourth time in five days, with losses from construction giant CIMIC Group and mining titan BHP dragging the market.

The benchmark S&P/ASX200 index closed down 24.2 points, or 0.36 per cent, to 6,649.1 points at 1615 AEST on Thursday, while the broader All Ordinaries was down 28.6 points, or 0.42 per cent, to 6,735.4.

The Aussie dollar is buying 70.367 US cents, from 70.06 US cents on Wednesday.