In functional differential equations (FDEs), there is a class of infinite delay-differential equations (IDDEs) with porportional delay, which aries in many scientific fields such as electric me-chanics, quantum mechanics, and optics. Ones have found that there exist very different mathematical challenges between FDEs with proportional delay and those with constant delays. Some research on the numerical solutions and the corresponding analysis for the linear FDEs with proportional delays have been presented by several authors. However, up to now, the research for nonlinear case still remains to be done. For a class of IDDEs with proportional delays. It is shown under the suitable conditions that a(k, l)-algebraically stable RK method for this kins of nonlinear IDDE IS globally and asymptotically stable.