He has been the CEO of SGX since 1 December 2009.
The board is moving forward with its CEO succession plan and is assessing internal and external candidates on a short list, the bourse said in a statement on Tuesday.
The board has hire the executive search and leadership advisory firm Spencer Stuart look for a new CEO.
Speculation mounted late last year that Bocker, 53, may not have his contract renewed when it expires this June, after two technical glitches in less than a month caused stock trading to be halted.