The ruling coalition of the JD(U), BJP and others got 131 votes while the opposition got 108 votes, Speaker Vijay Kumar Chowdhury said.
The trust vote was taken through lobby division.
The NDA had earlier submitted a list of 132 MLAs to the governor. These include 71 of JD(U), BJP 53, RLSP two, LJP two, HAM one and three Independents.
In the 243-member Bihar Assembly, the RJD has 80 MLAs, the Congress 27 and the CPI-ML has three.