  We study the process of the association production of chargino and neutralino
including the NLO QCD and the complete one-loop electroweak corrections in the
framework of the minimal supersymmetric standard model(MSSM) at the Fermilab
Tevatron and the CERN Large Hadron Collider (LHC). In both the NLO QCD and
one-loop electroweak calculations we apply the algorithm of the phase-space
slicing(PSS) method. We find that the NLO QCD corrections generally increase
the Born cross sections, while the electroweak relative corrections decrease
the Born cross section in most of the chosen parameter space. The NLO QCD and
electroweak relative corrections typically have the values of about 32% and -8%
at the Tevatron, and about 42% and -6% at the LHC respectively. The results
show that both the NLO QCD and the complete one-loop electroweak corrections to
the processes $p \bar p/pp \to \widetilde{\chi}_1^{\pm} \widetilde{\chi}_2^0+X$
are generally significant and should be taken into consideration in precision
experimental analysis.
