In this paper, we solve the quadratic p-functional inequalities (0.1) DLINE f(x+y)+f(x-y)-2f(x)-2f(y) DLINE LEQ DLINE p(4f( {x+y} over {2} ))+f(x-y)-2f(x)-2f(y)∥, where p is a fixed complex number with|p|<1, and (0.2) ∥DLINE 4f( {x+y} over {2} )+f(x-y)-2f(x)-2f(y) DLINE LEQ DLINE p(f(x+y)+f(x-y)-2f(x)-2f(y)) DLINE , where p is a fixed complex number with |p|<{1} over {2}. Furthermore, we prove the Hyers-Ulam stability of the quadratic p-functional inequalities (0.1) and (0.2) in complex Banach spaces.