The market is up nearly 13% so far this year in a rally led by foreign investors.
Kuwait's index rose 1%, extending gains for a ninth straight session. The index has been rising since MSCI said it would move Kuwaiti equities to its main emerging market index in 2020, a move that could trigger billions of dollars of inflows.
Kuwait has outperformed its Gulf peers in anticipation of the MSCI move, gaining over 27% year-to-date.
Middle Eastern funds plan to continue increasing investments in Kuwait over the next three months, a Reuters poll found earlier this week.
The Dubai index edged up 0.1% with logistic firm Aramex gaining 1% and Emaar Properties adding 0.2%.
In Qatar, the index gained 0.1% with Qatar National Bank, the Gulf's largest lender, increasing 1% and Qatar Gas Transport was up 1.8%.
The index fell in the last three sessions after a spate of gains following a 10-to-one stock split for companies on the exchange.
The Abu Dhabi index dropped 0.1% with Bank Of Sharjah plunging 5.2% after reporting on Sunday its first-quarter profit fell 38%.
(Reporting by Ateeq Shariff in Bengaluru, editing by Larry King) ((AteeqUr.Shariff@thomsonreuters.com; +918067497129;))