Can you be a bit more specific? In the south, the entire train (Dhanbad/Tatanagar-Alleppey) is called as Bokaro express. The Tatanagar (18189) portion was started on the date I updated above - October 1st, 1970.
If you are talking about the portion that goes to Dhanbad (13351), it was started as Ranchi-Rourkela-Madras slip express connecting to the Tatanagar portion at Rourkela on November 1st, 1980. It was extended to Bokaro sometime between 1980-84 and later to Dhanbad in the early 2000's.