Singh, a four-term BJP MLC, is the sole candidate in the fray for the post.
The results will be declared tomorrow.
Chief Minister Nitish Kumar, Deputy Chief Minister Sushil Kumar Modi, Leader of Opposition in the legislative council Gulam Gaus were present during the filing of nomination.
Singh submitted his nomination papers to legislative council secretary P K Jha in his chamber.
The post fell vacant in May last after the then chairman Tarakant Jha retired as the member of the legislative council.
