ESR measurements and g-tensor analyses were performed for metal complexes, beta'-type Pd(dmit)(2). The ESR g-values of beta'-type Pd(dmit)(2) are found to be beyond one radical description which is a, good approximation for conventional molecular based conductors. In this paper we focus on the anomalous behavior of the ESR. g-values in beta'-type Pd(dmit)(2). We discuss the possible explanation of the electronic structure of beta'-type Pd(dmit)(2) metal complexes from microscopic points of view.