Jagmohan Dalmiya, a former BCCI and International Cricket Council (ICC) chief, is currently the president of the Cricket Association of Bengal (CAB).
"Srinivasan announced he will not discharge his duties as president of the board till such time that the probe is completed," BCCI said, referring to the investigation against his jailed son-in-law Gurunath Meiyappan's role for betting in the Indian Premier League (IPL).
"Till such time, Dalmiya will conduct the day to day affairs of the board," BCCI joint secretary Anurag Thakur said in a statement.
BCCI also requested Sanjay Jagdale and Ajay Shirke, who Friday resigned as the secretary and treasurer on moral grounds, to reconsider their stand.
"The (working) committee expressed full confidence in Jagdale and Shirke and requested them to withdraw their resignations in the larger interest of the board," added the statement.
The BCCI constitution, however, does not permit an "interim president".
Sunday's meeting followed mounting pressure on Srinivasan to vacate his post in view of his son-in-law alleged wrongdoings as chief executive of Chennai Super Kings, owned by Srinvasan's India Cements company.