Earmark Elimination Act of 2018 This bill establishes a point of order in the Senate against considering legislation that includes an earmark. Under the bill, an "earmark" is a congressionally directed spending item, tax benefit, or tariff benefit targeted to a specific recipient or group of beneficiaries. The point of order may be waived by an affirmative vote of two-thirds of the Members of the Senate, duly chosen and sworn. If the point of order is successfully raised and sustained, the earmark shall be stricken from the legislation.