The ICC Executive Committee will be chaired by Australia's Wally Edwards and will also have England's Giles Clarke.
The duo's election was approved by the ICC Board, under the chairmanship of Srinivasan, during the ICC Annual Conference weekend here.
India, England and Australia have permanent representatives on the five-member committee, while the other two members will be elected from the ICC board on an annual basis.
David Richardson, who received a two-year contract extension as ICC chief executive, will be an ex-officio member of the committee.
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The ICC Board noted the significant progress made on the Future Tour Programmes that has been extended through to 2023 and expressed satisfaction that there was now more certainty around long-term scheduling with a reasonable balance between home and away matches for all 10 teams as well as between the three formats.
The ICC Board approved the composition of various sub-committees, which expectedly did not have any representative from Cricket South Africa.
Clarke will chair the Finance and Commercial Affairs Committee (F&CA), which will also include Edwards, Srinivasan, Nazmul Hassan (Bangladesh) and Jayantha Dharmadasa (Sri Lanka) with Richardson again an ex-officio member.