Singh, whose party supports the government from outside, has written a letter to Lok Sabha Speaker, expressing his dismay.
He cited Article 87(1) of the Constitution, according to which the first session of Lok Sabha after elections will start with the President's Address and thereafter the first session of every year will also start with the President's Address.
"This was the reason why the President's Address took place twice in a year in 2004 and 2009, when Lok Sabha elections were held," he said.
Singh, a former Union Minister, said an unprecedented situation has been created as a session which ended in the last year was not prorogued and instead re-convened in the new year to consider Vote-on-Account and other crucial legislations.
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The RJD leader told PTI that he has also written to the Lok Sabha Speaker to urge her to "protect the Constitution and rules" and avoid the precedent.
"This is unconstitutional and goes contrary to all rules and traditions. Let the government cite any example from past where the session has begun in one year and was then extended in another year.
Singh said that the winter session should be prorogued and the government should call for a fresh session that begins with the the President's Address.