An eyeglasses assembly comprises a primary lens frame combined with lenses having a primary function, a protective strip, and a secondary lens frame combined with lenses having a secondary function. The protective strip and the secondary lens frame each have a middle section formed with a forwardly protruding, resilient clamp having an opening which is constantly kept closed. The protective strip or the secondary lens frame can be selectively assembled as needed with the primary lens frame by engaging the opening of the resilient clamp of the protective strip or the secondary lens frame with a perimeter of a supporting portion on a middle section of the primary lens frame, wherein the supporting portion has a rear end formed as a bulged segment. Alternatively, the protective strip and the secondary lens frame can both be assembled with the primary lens frame to form the eyeglasses assembly.