In this paper we analyze the dilepton mass square q 2 dependency of single lepton polarization asymmetries and CP violation for B → K * 0 (1430)ℓ + ℓ − , ℓ = µ, τ) in the 2HDM context. Also, we study the averages of these asymmetries in the domain 4m 2Our study manifests that the investigation of the abovementioned asymmetries for B → K * 0 (1430)ℓ + ℓ − processes could provide useful information for probing new Higgs bosons in the future B-physics experiments. Packs numbers: 12.60.-i, 13.30.-a, 14.20.Mr * falahati@shirazu.ac.ir * 0 (1430)(p K * 0 ) |sγ 5 b| B(p B ) = ∓