Chief Commissioner's Province refers to a middle-level and minor type of province in British India and in the post-colonial successor states, not headed by a (lieutenant-)governor but by a Chief commissioner, notably :
in present India :
Chief Commissioner's Province of Ajmer-Merwara (the British Political Agent in Rajputana served as ex officio Chief Commissioner)
Chief Commissioner's Province of Andaman and Nicobar Islands
Chief Commissioner's Province of Assam
Central Provinces and Berar
Chief Commissioner's Province of Coorg (the British Resident in Mysore served as ex officio Chief Commissioner)
Chief Commissioner's Province of Himachal Pradesh
in present Pakistan :
North-West Frontier Province
Chief Commissioner's Province of Balochistan (the British Political Agent in Baluchistan served as ex officio Chief Commissioner)