Optical lenses with freeform surfaces possess good flexibility for design to generate diverse profiles of uniform illumination. However, most of the previous design formulation was applicable only for a single light source without offset. The formulation is extended for the applicability for multiple sources. The proposed approach requires designation of a freeform surface for multiple sources. The weighted least-square technique is introduced as a suboptimal solution to the problem. The proposed approach forms a two-parameter solution space for designation of illumination uniformity and profile fitting. Rectangular illumination of a single source as well as multiple sources is studied. The adequacy of the extended formulation and applicability for uniform illumination is demonstrated by simulation.