"We will never surrender and will fight till we can. The international community must intervene in the issue," a statement reportedly issued by the rebel outfit said.
The rebel statement came as Sri Lankan Defence Secretary, Gotbaya Rajapakse categorically said the Prabhakaran will now have to surrender or perish.
"If he surrenders it is good, otherwise, he can commit suicide. If he tries to fight, he will perish. If he surrenders we will take him in custody. We will have a genuine trail, he said.
Earlier the day Tamil Nadu Chief Minister M Karunanidhi sent a telegram to the Centre warning both Prime Minister Manmohan Singh and UPA chairperson Sonia Gandhi to help halt the war in Lanka.
In a telegram to Gandhi, Singh and External Affairs minister Pranab Mukherjee, Karunanidhi said the Indian government should issue an ultimatum to Colombo to halt the war in Lanka immediately.
The DMK chief also urged the UN and the international community to intervene immediately to halt violence in Sri Lanka.
Sri Lankan forces on Tuesday launched new offensives and captured more territory from the Tamil Tigers as thousands of trapped civilians continued to flee the northern war zone.
Minutes after the expiry of the ultimatum to LTTE Supremo V Prabhakaran to lay down arms, Sri Lankan forces seized Puthumathalan hospital and breached the eastern coast of the no-fire zone, a government spokesman said.
The Lankan forces attack virtually sliced the small 17 sq kilometers strip of land held by the Tigers into two and came as the number of people fleeing the war zone crossed a record figure of 52,000.