We construct supersymmetric composite models of quarks and leptons from type IIA T 6 / ( Z 2 × Z 2 ) orientifold with intersecting D6-branes. In case of T 6 = T 2 × T 2 × T 2 with no tilted T 2 , a composite model of supersymmetric SU ( 5 ) grand unified theory with four generations is constructed. In case of that one T 2 is tilted, a composite model with SU ( 3 ) c × SU ( 2 ) L × U ( 1 ) Y gauge symmetry with three generations of left-handed quarks and leptons is constructed. These models are not realistic, but contain relatively fewer additional exotic particles and U ( 1 ) gauge symmetries due to the introduction of the compositeness of quarks and leptons. The masses of some exotic particles are naturally generated through the Yukawa interactions among “preons”.