Two important areas in the U.S. Nuclear Regulatory Commission regulation for low-level waste management, 10 CFR Part 61, involve the requirements for waste classification and waste form. The waste classification system establishes three categories of wastes acceptable for near-surface disposal. These categories are determined by the concentrations of nuclides important for disposal. Class A wastes have low concentrations and need only meet minimum waste-form requirements. Class B and C wastes have higher concentrations and are required to have stability to minimize disposal trench subsidence effects. This paper discusses the approaches recommended to demonstrate that such wastes meet the stability criteria, including acceptable tests and test criteria which could be used by waste generators to demonstrate waste stability. Discussion is also included on the solidification technologies and high-integrity containers that have been developed to meet the requirement.