the CDMS II experiment. We also assume that the supersymmetry breaking scale is still below 1 TeV, and then we can solve the gauge hierarchy problem without fine-tuning. To explain the PAMELA, ATIC, and FERMI experiments, we introduce a DM particle S with mass around a few TeVs. To produce the SM fermion masess and mixings and have the heavy decay DM particle S , we consider the Froggatt-Nielsen (FN) mechanism [24]. We introduce an anomalous U (1)$_{X}$ gauge symmetry whose anomaly is cancelled by the Green- Schwarz mechanism [25]. Especially, the U (1)$_{X}$ gauge symmetry is broken down to the Z$_{2}$ symmetry around the string scale under which S is odd while all the SM particles are even. Thus, S can be a DM particle. Similar to the discussions in Refs. [26–29], the SM fermion masses and mixings can be generated as well. With a pair of heavy vector-like particles that are SM singlets and have U (1)$_{Y}$ charges ± 1 respectively, we obtain that the leading Yukawa coupling terms between S and the SM particles are S $^{2}$H$_{d}$ L$_{i}$E c j where H$_{d}$ is the Higgs field, and L$_{i}$ and E c j are the i -th family of the SM lepton doublet and j -th family of the right-handed charged lepton, respectively. In Model I, we have ( i, j ) = (2 , 2) and (3 , 2), while in Model II, we have ( i, j ) = (1 , 1). After S obtains a vacuum expectation value (VEV) at the TeV scale, S can decay dominantly to the second/third family of the SM leptons via dimension-six operators (three-body decay) in Model I, and to the first family of the SM leptons in Model II. To realize our idea, we present a benchmark point from the constrained minimal supersymmetric Stanard Model (CMSSM). The lightest neutralino ˜ N 0 1 contributes to part of the whole DM relic density, i.e. , Ω$_{˜}$ N 0 $_{1}$h 2 ≈ 0 . 08. The LSP neutralino- nucleon elastic-scattering spin independent cross section is about 5 × 10 − 9 pb. Thus, this benchmark point is consistent with the CDMS II results. In addition, for the S lifetime about τ ∼ 10 25 − 10 $^{27}$s , we can explain the PAMELA, FERMI and CDMS II experiments in Model I with S mass 3 TeV, and explain the PAMELA, ATIC and CDMS II experiments in Model II with S mass 1.8 TeV. The paper is organized as follows. In Section II, we explain the SM fermion masses and mixings as well as the leading Yukawa terms S $^{2}$L$_{i}$ H$_{d}$E c j via the FN mechanism. In Section III, we present a benchmark point in the CMSSM parameter space, and we discuss the DM particle S three-body cascade decay. We fit the PAMELA and FERMI data and the PAMELA and ATIC data in Section IV. Section V is our discussion and conclusions. We present more technical details in Appendices A, B, and C. In this Section, we will present two supersymmetric Standard Models with decaying and stable DM particles. To have a decay DM particle, we introduce a SM singlet field S and a new Z$_{2}$ symmetry. Under this Z$_{2}$ symmetry, S is odd while all the SM particles 4 II. TWO SUPERSYMMETRIC STANDARD MODELS