The Left-Right symmetry Model (LRSM) is an extension of the Standard Model based on the gauge symmetry group SU(3)C × SU(2)L × SU(2)R × U(1)B-L predicts by existence new particles like doubly-charged Higgs boson, W’ new charged boson, Z’ new neutral boson and heavy neutrinos. In this work we present an analysis for production four-charged lepton in final state produced via decaying a pair of doubly-charged Higgs boson in the context of LRSM by using Monte Carlo simulation Techniques at both the Large Hadron Collider (proton-proton collisions) and the Fermilab Tevatron Collider (proton-antiproton collisions). In this analysis we assume that the branching ratio of decay channels of left-handed or right-handed doubly-charged Higgs boson BR ( 𝐻𝐻±±→ℓ±ℓ±=100%,ℓ=𝑒𝑒±,𝜇𝜇±,𝜏𝜏±). We carry out a Monte Carlo study of the (Left or Right) doubly charged Higgs pair production and decay to four-charged lepton via the process 𝑝𝑝𝑝𝑝(𝑝𝑝̅)→𝐻𝐻±±𝐻𝐻±±→ℓ±ℓ±ℓ±ℓ±,ℓ=𝑒𝑒±,𝜇𝜇±,𝜏𝜏± . From Monte Carlo simulation level the doubly-charged Higgs may be found at the LHC or at the Tevatron in the mass range up to 800 GeV.