"State governments and the Centre should not indulge in violence between February 25 and May 7 and concentrate on development of tribal areas which will be reciprocated by Maoists, " Kishenji said in TV news report.
The Maoists leader added that the 72-day ceasefire would be possible only if the Center promises to halt Open Green Hunt.
Putting another condition to the talk, Kishenji asked for intellectuals and human right activists to mediate between them and the Government.
"We appeal to all the intellectuals, human rights organisations and mass organisations, the organisations which understand the cause of the people and want to stand by their side to mediate with the government and negotiate with the government," he said.
Maoists leader said that the rebels were ready to give up arms if the state stops promoting violence.
"As long as state sponsored terrorism and violence remains stopped we will renounce our revolutionary revenge," Kishenji said.
The conditional ceasefire offer also carried a warning from the Maoists leader, who said the Center should stop attacking innocent people in the name of anti-Maoists operation.
"The Centre and the state should stop their non-stop violence on the common people in the name of Maoists and we assure to renounce violence. If the state and central government without killing innocent and poor tribals concentrate on development of the people in the villages and in jungle mahal (Maoist-hit areas in West Midnapore, Bankura and Purulia districts) then only this revenge and counter revenge, violence and counter violence can be neutralised," he said.
Kishenji, alias Koteshwar Rao said that they would wait for the government's reaction to their offer.
"We will cease violence hour wise and day wise considering the state's reciprocation. They will have to take the initiative first," Kishenji said after a two-day Central Committee meeting in deep jungles on the Bengal-Jharkhand border.
Meanwhile, the Union Home Ministry said that it was taking the Maoists offer into consideration and the Center's reaction to it will be announced at an appropriate time.
The reaction from the Maoists came after the President Pratibha Patil comment on the upsurge in the Maoists violence during the Parliament"s first day of the Budget session.
Kishenji also reacted to President Patil statement in which she called the Maoists as cowards.
"In the last one year, 400 of our members and innocent villagers have been killed, 300 of them have been injured by paramilitary forces. Women have been raped and people have been made homeless."
"This is enough to define who are cowards," he said