It is known that the linearly polarized photons can partly transform to circularly polarized ones via forward Compton scattering in a background such as the external magnetic field or noncommutative space time. Based on this fact we explore the effects of the NC-background on the scattering of a linearly polarized laser beam from an intense beam of charged leptons. We show that for a muon/electron beam flux ε‾μ,e∼1012/1010εμ,e∼1012/1010 TeV cm−2−2 sec−1−1 and a linearly polarized laser beam with energy k00 ∼1 eV and average power P‾laser≃103Plaser≃103 KW, the generation rate of circularly polarized photons is about RVV ∼ 1044 /sec for noncommutative energy scale ΛNCNC ∼ 10 TeV. This is fairly large and can grow for more intense beams in near future.