A group divisible design GDD(v, g, κ, λ1, λ2) is a collection of λsubsets (called blocks) of a vset of symbols where the vset is divided into g groups: each pair of symbols from the same group occurs in exactly λ1 blocks, and each pair of symbols from different groups occurs in exactly λ2 blocks. Here, we focus on an existence problem of GDDs with two associate classes orwhen g = 2, and with blocks of size 3, when the required designs have two groups of unequal sizes and λ2 = 2. We obtain the necessary conditions and prove that these conditions are sufficient.