A method for evaluating the reliability of a system with two load-sharing Weibullian units is given. The equivalent-time-technique is used to derive the system's reliability function. It is assumed that the lives of all units have a three-parameter Weibull distribution. No literature has been found solving this important problem. The problem is important because most units, and specifically mechanical units, have non-constant failure rates. The Weibull distribution, with a shape parameter greater than one, provides an increasing failure rate which most mechanical units exhibit, thus the solution given in this paper comes closer to representing real life situations.