Mariam Alexander Baby is an Indian politician and member of the Communist Party of India (Marxist) from Kerala.

[1] He was elected to the Politburo of CPI(M) in the 20th Congress held at Kozhikode, Kerala, in 2012.

After completing basic schooling, Baby went to SN College, Kollam for pre-degree (plus two).

Later, Baby joined for BA in Political Science in SN College itself.

He unsuccessfully contested from Kollam against N. K. Premachandran of Revolutionary Socialist Party during 2014 Indian general elections.