BBC News reports the LTTE now officially accepting the death of their `incomparable' leader whom they say attained `martyrdom' in the final battle.
The statement was signed by the defeated group's head of international relations, Selvarasa Pathmanathan.
" We have already announced that we have given up violence and agreed to enter a democratic process to achieve the rights for the Tamil (self) determination of our people " says Selvarasa Pathmanathan
It said that the LTTE had declared a week of mourning for their dead leader, starting on 25 May.
The statement called on Tamils all over the world to "restrain from harmful acts to themselves or anyone else in this hour of extreme grief".