The Australian share market closed flat Tuesday, slightly weaker with very low trading volumes.

At the close of trade, the benchmark S&P/ASX 200 index was down 1.2 points or 0.02 percent at 5,738.10, while the broader All Ordinaries index dipped 2.0 points or 0.03 percent at 5,801.90.

Weakness in energy shares and a lack of enthusiasm from investors saw the index hover sideways.

However the Consumer discretionary sector did manage to perform strongly, along with gold stocks.

In the financial space, Australia's big banks had a mixed day with The Commonwealth Bank down (0.47 percent), Westpac Bank up (0.16 percent), National Australia Bank down (0.25 percent) and ANZ up (0.24 percent).

Mining stocks performed a little better across the board with BHP down (0.23 percent), Rio Tinto down (0.06percent), Fortescue Metals up (0.60 percent) and Newcrest Mining up (1.01 percent).

The country's oil and gas producers struggled with Woodside Petroleum down (0.56 percent), Santos down (0.25 percent) and Oil Search down (1.80 percent).

Australia's largest supermarket chains also had mixed results with Wesfarmers up (0.20 percent) and rival Woolworths down (0.56 percent).

While telecommunications giant Telstra dipped (0.29 percent), the national carrier Qantas slid (0.32 percent) and biomedical firm CSL fell (0.25 percent).