The Australian share market has closed higher on growing expectations of an interest rate cut in China.

At the close on Tuesday, the benchmark S&P/ASX200 index was 45.4 points, or 0.78 per cent, higher at 5,891.5, while the broader All Ordinaries index was up 45.6 points, or 0.78 per cent, at 5,861.9, according to preliminary figures.

On the ASX 24, the June share price index futures contract was 35 points higher at 5,886, with 26,907 contracts traded.