Dalmiya, who is also the president of the Board of Control for Cricket in India (BCCI), would take over from Mohammad Ali Asghar of Bangladesh at the end of his two years term.
The ACC annual meeting will be attended by all its 20 members.
Dalmiya would take over as the new ACC president on the rotational basis as this is now India's turn to head the regional body after Bangladesh.
Incidentally Dalmiya's term as the BCCI president ends in September this year after the completion of a maximum three year tenure. Hence for the next three months Dalmiya would be simultaneously holding the posts of presidents of ACC and BCCI.
Dalmiya was the secretary of ACC for three years between 1993 and 1996.
The ACC annual meeting will also elect a new vice president and also an executive board.
Other important items in the agenda to be taken up by the meeting would be grant of membership to China Cricket Association and update on establishment of cricket academy in Nepal, United Arab Emirates and Malaysia.