The properties of the secondary fixed—points inλ—calculus are discussed in this paper．The author first shows the relationship among three propositions for the sec-ondary fixed—points and proves these propositions，and then formulates a sufficient condi-tion for the so—called secondary fixed—point combinators and gives a series of such corn-binators．At last．the author establishes the second fixed—point theorem in the n—ary version．