 TSKK is named after Thomas Stephens, the 16th century English Jesuit priest missionary who came to Goa in 1579 and lived in the region till his death.Stevens authored the "Arte da lingoa Canarim", which was written in Portuguese, and was the first printed grammar of what is now called the Konkani language

In 1982 TSKK was registered as a society, and it commenced operation in January 1986 from its former premises at Loyola Hall in Miramar, Goa.Miramar itself is a centre for training young men wanting to become Jesuit priests.