Abstract : We construct the triple difference sequence spaces ?^3 (p?^3 q)=(?^3 )_(p?^3 q), where p=(?_uvw^mnk ) is an infinite three-dimensional matrix of Padovan numbers ?_mnk defined by (?_uvw^mnk )={?(?_mnk/(?_(u+5,v+5,w+5)-2),&m?u,n?v,k?w,@0,&m>u,n>v,k>w)? and ?_q^3 is a q-difference operator of third order. We obtain some inclusion relations, topological properties, Schauder basis and ?-,?- and ?- duals of the newly defined space. We examine some geometric properties. We introduce and study some basi