The decision was taken at the party's central election committee meeting, party spokesperson James K Sangma said.
The ruling Congress has already nominated Chief Minister Mukul Sangma's wife and legislator Dikkanchi Shira to contest the by-poll.
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The BJP has so far not decided on whether to field any candidate even as regional parties have decided not to put up any contestant.
The by-poll was necessitated following the death of Purno A Sangma.