"I have sent my resignation to Left Front chairman Biman Bose seven to eight days ago," Molla said here.
Molla said that he did not know whether his resignation had been accepted.
"I live in my native village nowadays. I have to travel a lot to reach the Assembly and my poor health does not permit," he said.
"It requires a lot of work to do in this post and in this health I cannot," Mollah said.
Molla has been winning the Canning Purba Assembly seat since 1977 and was the minister for Land and Land Reforms in the past Left Front government.
CPI(M) sources, however, denied that any resignation letter had been received by Bose.
