We evaluate the Barr-Zee type two-loop level contribution to the fermion electric and chromoelectric dipole moments with sfermion loop in R-parity violating supersymmetric models. It is found that the Barr-Zee type fermion dipole moment with sfermion loop acts destructively to the currently known fermion loop contribution, and that it has small effect when the mass of squarks or charged sleptons in the loop is larger than or comparable to that of the sneutrinos, but cannot be neglected if the sneutrinos are much heavier than loop sfermions.PACS numbers: 12.60. Jv, 11.30.Er, 13.40.Em, 14.80.Ly The supersymmetric extension of the standard model is one of the favored candidates of new physics. It has many advantages which resolve theoretical and observational problems of the standard model (SM), and has been exhaustively studied over decades [1]. The supersymmetric SM allows also baryon number or lepton number violating interactions, known as the R-parity violating (RPV) interactions. The RPV effects have also been constrained from the analysis of various phenomena [2].In searching for new physics beyond the SM, the electric dipole moment (EDM) plays a very important role. The EDM is an observable sensitive to the P and CP violations of the underlying theory, and provides excellent information about the new physics for many reasons. First, it can be measured in many systems and many accurate experimental data are available [3]. Second, it has a very small SM contribution [4], so that any observation of finite EDM will be a direct indication of new physics. Finally, the EDM is sensitive to many new physics, in particular the supersymmetry, and many supersymmetric models with [5][6][7][8] and without [9-16] the conservation of R-parity have been studied.In the RPV supersymmetric model with trilinear RPV interactions, it has been found that the fermion (quark or lepton) EDM does not receive any one-loop level contribution [10], and the two-loop level contribution has been analyzed in detail to give the Barr-Zee type diagram [17] with fermion loops as the leading contribution [12,15]. In previous works however, Barr-Zee type process with sfermion loops has not been considered so far, although it involves the same set of coupling constants. In this paper we will evaluate the Barr-Zee type diagrams with sfermion loop generated by RPV interactions to clarify the relative size between the currently known fermion loop contribution. It is actually found that the sfermion loop effect acts destructively to the fermion loop one, and that it can be significant in some situation.The RPV interactions are generated by the following superpotential:In the first line are written RPV terms, and in the last two lines the standard R-parity conserving Higgs-matter interactions. Indices i, j, k = 1, 2, 3 indicate the generation, and a, b = 1, 2 the SU (2) L indices. L and E c denote the lepton doublet and singlet left-chiral superfields. Q, U c and D c denote respectively the quark doublet, up quark singlet and down quark singlet left-c...