Abstract: The distributing law, contralling factors and source of Fe, Mn, Cu, Co, Ni, Pb, Zn, Cr, Mg, Ca, Al, Ti, K, Sr, Na, Corg. Si, N in 28 stations sediments were described in detail by the study method of the mathematical geology based of the data obtained during the second oceanic survey of the ferromanganse, nodules from the Pacific North region (7°-165° W), Main results are as follow: 1. There are characteristics for the abundance of chemical elements in sediments of study area as follow: a) .Major elements Si, Mg, N are similar and the trace elements Mn, Cu, Co, Ni, Zn and Ca are obviously enrichment, and Te, Al, Cr, Ti and Corg are poorer than that of the earth's crust, clay of the coast and the sediments of continental shelf. b) .Si, Al, Fe, Zn, K, Cr, Pb, Ti and N arc similar, and Mn, Cu, Co, Ni and Ca are obviously enrichment too, and Corg is poorer than that in sediments of the half deep sea and the ocean of the poor fcrromanganese nodules. c) .The content of Si, Al, K, Na, Mg, Ca and Cr in sediment arc obviously higher, and the trace elements Fe, Mn, Cu, Co, Ni, Pb and Sr, Ti are 1-2 quantity stager lower than that in ferromanganese nod nodules. d) .Mn, Cu, Co, Ni, in sediments are obviously enrichment and increased and the organic carbon is decreased, and the major elements are similar in the order of estuary-continental shelf-half deep sea - area of the poor fcrromanganese nodules- area of the enrichment ferromanganese nodules— ferromanganese nodules. 2.The distribution law of the elements in the surface sediment is similar for Fe, Mn, Cu, Co, Ni, Zn and K, Al, Ti their content in calcsiliceous ooze is lower than that in brown clay and siliceouse ooze, relatively, the content of elements in brown clay is higher than others.The distribution trend of Corg.N, Si and Na. are in agreement with the trace elements of Fe, Mn, but their content df elements in biological sediments is higher than that in brown and calcsiliceous ooze and the content elements in calcsiliceous ooze is lowest than others.The distribution of Ca, Sr and opposition with Fc, Corg.and the content of elemtnts in calcsilicenus is higher than that in brown clay and siliceous ooze. 3.The result of factor analysis shows that the distribution of elements in study area mainly is controlled by the three factors, that is ; 1) the adsorption of clay and colloid of the hydrate of Mn, Fe oxides; 2) the authigenic sedimentation of the processe of the biochemistry; 3) voicanism near to the strdy area and shale weathering in floor. The relationship between factors and elements indicates that Fe, Mn, Cu, Co, Ni, Zn, Cr and Mg, Al, Ti, K, mainly came from adsorption of clay; Corg.N, Sr, Na and Si, Ca, Sr mainly came from the sedimenation of processes of biochemistry; Pb mainly came from the calastic rook (volcanic clastic) and biological clastic.