Zeroing Excess, Reducing Organic Waste, And Sustaining Technical Expertise Act or the ZERO WASTE Act This bill requires the Environmental Protection Agency (EPA) to establish grant programs for reducing waste. Specifically, the EPA must establish a program to award grants to nonprofit organizations and state, local, and tribal governments for projects that utilize specified zero-waste practices. Zero-waste means the conservation of all resources by means of responsible production, consumption, reuse, and recovery of products, packaging, and materials without (1) burning or otherwise destroying embodied energy; and (2) a discharge to land, water, or air that results in adverse human health or environmental effects. In addition, the EPA must establish a program to award grants for developing and implementing new requirements that reduce the amount of waste disposed of in landfills.