Chinese stocks closed mixed on Tuesday as investors awaited global index provider MSCI's decision on inclusion of Shanghai and Shenzhen listed stocks in one of its indexes.

The benchmark Shanghai Composite Index was down 0.14 percent to close at 3,140.01 points. The smaller Shenzhen Component Index closed 0.25 percent higher at 10,288.53 points.

Total turnover in the two indices rose to 398 billion yuan (59 billion U.S. dollars) from 351 billion yuan the previous trading day.

The ChiNext Index, China's NASDAQ-style board of growth enterprises, was up 0.25 percent to close at 1,820.98 points.

The MSCI decision is due Tuesday afternoon in the United States (4:30 a.m. Wednesday Beijing time). There has been less talk about the decision this year compared to the past three years. Analysts said China's stock market has and will keep on opening up, regardless of the outcome -- a nod from the MSCI is surely just a matter of time.

Money injections by the central bank are helping to ease liquidity in the financial markets and liquidity risks are thought to be controllable in June. Open market operations are still neutral.

Rare earth and lithium battery sectors led the gains, while insurance and airport shipping companies suffered the biggest losses.