A solid vacuum wheel and tire assembly incorporating a vacuum to adhere a solid tire in place against a wheel rim, allowing for safe and reliable operation. The assembly incorporates a flexible solid tire core which contracts into place after a vacuum is applied, contracting and adhering directly onto the wheel rim and filling a void between the rim and tire, having no air pressure to go flat or release if punctured. Vacuum channels installed along the wheel rim direct a vacuum seal to the tire core. A vacuum valve is installed into a vacuum chamber, which acts as a conduit to direct the vacuum throughout the assembly. The solid tire incorporates a possible concave shaped tire tread configuration, tire tread rubber and a steel belt. The solid tire core material comprising of solid or porous rubber, jell or a combination of each provides a solid flexible non-pneumatic core structure.