Supersymmetry is the symmetry between fermion and boson and this symmetry is very useful. Supersymmetry have many applications in physics, sometime it can solve some of the difficult problem. Minimal Supersymmetric Standard Model (MSSM) is the model which is minimally embedding super- symmetry into Standard Model. MSSM has several advantages, especially it give a solution to the hierarchy problem. Although this model is very attractive, MSSM has its own difficulty, it is “μ-problem”. This difficulty can be removed by introducing a new singlet scalar Higgs field and extended MSSM to the model call Next-to-Minimal Supersymmetry Standard Model. The NMSSM has an additional new pseudoscalar singlet Higgs and a new singlino in contrast to the MSSM. This model has some modification of the property of pseudoscalar Higgs boson. First, NMSSM give another new pseudoscalar Higgs into the theory which could be very light even less than a GeV, but in MSSM the pseudoscalar Higgs is very haevy (always a few hundred GeV). Secondly, even the gauge singlet property of this pseudoscalar Higgs, but it still posses a non-zero coupling to the charginos, neutralinos as well as the Higgs bosons. These two unusual property provided us a way to test NMSSM and distinguish it from MSSM. The main object of this paper is to study the cross section of the e+e− annihilation to produce the Chargino pair associated with the ligth pseudoscalar Higgs radiation (e+e−→χ+χ−A1). From the calculation result, we also con- clude that the cross section of this process is not small in the cases with A1 has a large singlet mixture and χ+χ−A1 has not small coupling. It may be able to detect in the future ILC. We also included the calculation of the proton collider which is for the test at LHC.