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We analyse the best condition for generating the maximally entangled states of the system containing two coupled two-level particles by the coherent approximation method beyond rotating wave approximation. It is found that the maximally entangled states are obtained when the detuning v and the strength Ω of driving-laser satisfy the condition v/Ω=2.5. The maximum average probability of entangled state pa max(v,Ω) has the best stability relying on v and Ω when v≈2Ω.