This paper studies the stability problems for a class of impulsive functional differential equations with infinite delays of the form x ' (t) = F(t,x(.)), t > t*, x(t(k)) = J(k)(x(t(k)(-))), k=1,2,... . By using the Liapunov functions and Razumikhin technique, some new Razumikhin-type theorems on stability are obtained. (C) 2001 Elsevier Science B.V. All rights reserved.