The Australian share market has closed marginally higher after dropping and then rebounding over uncertainty over the status of the US-China trade deal.

The benchmark S&P/ASX200 index finished Tuesday up 9.9 points, or 0.17 per cent, to 5,954.4, while the broader All Ordinaries closed up 11.3 points, or 0.19 per cent, to 6,069.3.

The Australian dollar was buying 69.09 US cents, up from 68.58 US cents at the close of trade on Monday.