We study a noncommutative generalization of the standard electroweak model proposed by Balakrishna, Gursey, and Wali [Phys. Lett. B 254, 430 (1991)] that is formulated in terms of the derivations Der(2)(M-3) of a three-dimensional representation of the su(2) Lie algebra of weak isospin. The linearized Higgs field equations and the scalar boson mass eigenvalues are explicitly given. A light Higgs boson with a mass around 130 GeV together with four very heavy scalar bosons are predicted.