The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,αk,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σξ,η (z, s, d) are obtained and presented in terms of the generalized (Wright) hypergeometric function. Some useful and interesting cases of main results are also deliberated. The results are obtained using a fascinating integral known as Oberhettinger integral.