Troops captured the entire township of Kilinochchi at 1630 hours (1000 GMT) today, the spokesman said.
Clearing operations are in progress and the troops are consolidating in Kilinochchi.
Military officials said the LTTE set up base in the town in April after the army captured the northern Jaffna peninsula.
The Tigers had ruled the northern Jaffna peninsula for almost a decade.
The military last Sunday launched its first major push for more than a month after digging in north of Kilinochchi.
