Tripura is a state in the north-eastern part of India. It is Indiaâs third-smallest state, and is bordered by Bangladesh to its north, south, and west, and by the Indian. The land of Tripura was ruled by Tripuri kings in the ancient and medieval periods, and later by the Mughals, who were defeated by the British East India company, that ruled the country including Tripura from mid-19th to mid-20th century. states of Assam and Mizoram to its east. Agartala is Tripuraâs capital city.