Combinatorial number theory is a actively branch of number theory, which is researched mainly on the topics in the additive and combinatorial features of integers, there are brought about a lot of brilliant results and classical problems, such as partition problem, postage stamp problem, etc., where many outstanding mathematicians such as Eular, Ramanujan, Erdös, Turán, Rohrbach and others have done creative works to the development of this field. The monograph is a collection of the author's papers on some topics of this field, including B_k-sequences, Turán numbers, postage stamp problem and additive basis, which will be arranged in Chaper 1, 2 and 3 respectively.