A prospective study for the observation of the decays of heavy neutral Higgs bosons into supersymmetric particles at the Large Hadron Collider is presented . The analysis focuses on the decay of the Higgs bosons into a pair of next-to-lightest neutralinos chi2, followed by the cascade down to the lightest neutralino, chi2 to l+ l- chi1. The final state is characterized by the presence of four isolated and missing tranverse energy. The parameter space of the minimal Supergravity model is explored and favorable regions for the observation of the A/H bosons are identified. The A/H bosons could be discovered in the 2e2mu channel in the mass region mA,H (250,400) GeV/c2 with an integrated luminosity of 30 fb-1
