We investigate the higher-twist generalized parton distributions (GPDs) of the pion and kaon at zero skewness by adopting the overlap representation within the light-cone formalism. Using the wave functions of pion and kaon deduced from a light-cone quark model (LCQM), we calculate the twist-3 and twist-4 GPDs , , , and of valence quarks inside the pion and kaon mesons. Numerical results for these higher-twist GPDs of valence quark and antiquark are presented. By taking the forward limit, we also present the numerical results for the corresponding twist-3 and twist-4 parton distribution functions (PDFs) and of pion and kaon. We further study the relations between or and the twist-2 unpolarized PDF .