Abstract: The fundamental physics characteristics of Minor Actinides（MA） transmuted in sodium cooled fast reactor are investigated in this paper.The results indicate that addition of MA into fuel will affect the core kinetic parameters and reactivity feedback significantly,for instance,the decreasing of β_eff and DoPpler feedback,and the increasing of sodium void worth.Meanwhile,after MA addition,the reduced burnup reactivity loss,the incineration of considerable amount of MA nuclides,and the energy released by fission of MA nuclides will be benefited.The essential of MA transmutation relies strongly on MA incineration and the specific incineration consumption of MA,which is in direct proportion to MA fission share of whole core（including fission of the daughter nucleus after MA capture reaction）,thus core safety parameters corresponding to the same MA fission share are the key points for the design of a dedicated MA burner.Compared with a lager core,the smaller core,favorable choice for dedicated MA burner,can effectively decrease the sodium void reactivity feedback,while without significant impact on MA specific incineration consumption.