April 24 (Reuters) - Australian shares are set to open marginally higher on Tuesday, helped by a rebound in oil prices and with iron ore prices buoyed by increasing construction demand in the world's top steel consumer, China.
The local share price index futures YAPcm1 rose 6 points to 5,874.0, a 12-point discount to the underlying S&P/ASX 200 index .AXJO close. The benchmark rose 0.3 percent on Monday.
Australia's quarterly consumer price data is expected to be published later in the day.
New Zealand's benchmark S&P/NZX 50 index .NZ50 fell slightly, down 1.86 points, at 2209 GMT.