The Australian share market has closed higher after the Reserve Bank of Australia left the official interest rate on hold.

At the close on Tuesday, the benchmark S&P/ASX200 index was up 10.7 points, or 0.23 per cent, at 4,484.8, while the broader All Ordinaries index was up 10.2 points, or 0.23 per cent, at 4,503.8.

On the ASX 24, the December share price index futures contract was 17 points higher at 4,475, with 18,644 contracts traded.