Thermoplastic products such as vehicle cargo area liners, floor mats, recreational and playground equipment, cargo pallets, and wet area walking surfaces are provided with an antislip surface treatment. The antislip surface is made up of individual non-interconnected asperities of an antislip polymer material, which do not form a continuous film over the surface of the thermoplastic product. The thermoplastic product is especially made of high density polyethylene. The antislip polymer is preferably a thermoset polymer, and most particularly is a polyurea / isocyanate polymer. The antislip polymer is preferably applied by spraying, and then the product is heat treated at a temperature in the range from 100 to 200° F., or is thermoformed at a temperature in the range from 250 to 550° F. The antislip asperities are durably bonded onto the thermoplastic base material, and provide a significantly increased coefficient of friction. The asperity size, height, and hardness can be controlled by adjusting the processing conditions. The asperities may have an increased surface relief due to a so-called "moth effect" and an increased surface roughness due to cratering as a result of a so-called "volcano effect" in the process using thermoforming.