For any odd prime p such that pm 1 (mod 4) , the structures of all –constacyclic codes of length 4ps over the finite commutive chain ring Fpm + uFpm(u2 = 0) are established in terms of their generator polynomials , if the unit is square , each –constacyclic code of length 4ps is expressed as a direct sum of an - constacyclic code and an - constacyclic code of length 2ps.