Chirag Ali Shah (died December 1983) was an Indo-Fijian farmer and politician.

A cane farmer in Ra Province,[1] Shah joined the Legislative Council in 1963 when he was one of the two Indo-Fijian members appointed to the legislature by the Governor.

Previously, nominated members had been largely pro-government but Shah aligned himself with the opposition.

In the 1966 elections he won the North-East Viti Levu seat for the Federation Party in a three-way contest with 58% of the vote.

The Indo-Fijian members all resigned two years later to protest government policies, with Shah re-elected in the subsequent 1968 by-election.