Earmark Elimination Act of 2021 This bill establishes a point of order in the Senate against considering legislation that includes an earmark. An earmark is generally any congressionally directed spending, tax benefit, or tariff benefit that benefits a specific entity, state, locality, or congressional district other than through a statutory or administrative formula or competitive award process. The point of order may be waived by an affirmative vote of two-thirds of the Senate. If the point of order is successfully raised and sustained, the earmark must be stricken from the legislation.