A method of waste stabilization by mineralization of waste material in situ in a treatment container suitable or treatment, transit, storage and disposal. The waste material may be mixed with mineralizing additives and, optionally, reducing additives, in the treatment container or in a separate mixing vessel. The mixture is then subjected to heat in the treatment container to heat-activate mineralization of the mixture and form a stable, mineralized, monolithic solid. This stabilized mass may then be transported in the same treatment container for storage and disposal.