No Hearing, No Vote Act of 2021 This bill prohibits the Senate from considering a budget reconciliation bill unless at least one committee hearing has been held regarding the bill. (Reconciliation bills are considered by Congress using expedited legislative procedures that prevent a filibuster and restrict amendments in the Senate.) Specifically, the bill prohibits the Senate from considering a reconciliation bill unless (1) the bill was reported by a committee that received reconciliation instructions or by the Senate Budget Committee after receiving recommendations from committees that received instructions, and (2) each committee that reported the bill or ordered recommendations to be reported to the Senate Budget Committee held at least one hearing regarding any major provision of the bill that is within the jurisdiction of the committee.