"I will not stop till terrorism is defeated," President Mahinda Rajapakse told journalists during a meeting at his heavily guarded Temple Trees office in Colombo.
"No one should have expectations that there will be a let-up in the battle against terrorism because of the frenzied attacks by the LTTE (Liberation Tigers of Tamil Eelam)," the president said.
Monday's bombing targeted an evening rush hour commuter train in the southern suburbs of Colombo.
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Officials on Tuesday raised the toll from eight to nine dead.
On May 16, another bombing inside the city killed 13 people and wounded more than 80 people.
"I will leave no room for terrorism in this country," Rajapakse said, accusing the rebels of trying to "whip communal strife" on the island.
"The government will not let this happen," he added.
Rajapakse accused the LTTE of targeting civilians to offset its defeats and setbacks as security forces move steadily to regain vast swathes of land from the rebels in the island's nort