This article establishes the continuous dependence of the harmonic equation on its basic geometry and load of the decay behaviour in a prismatic semi-infinite cylinder.Assuming that the harmonic equation on the side of the cylinder satisfies homogeneous boundary conditions,a differential inequality technique is used to derive a differential inequality for perturbation of geometric bases and differences in solutions.This differential inequality can directly derive the continuous dependence of the solution on perturbation parameters and known data on the base.