The stream ciphers are set of symmetric cipher algorithms that receive the secret message as a sequence of bits and process encrypted operation using complex function according to key, IV and XOR combination of a sequence of bits. One of the goals in the design of stream ciphers is to get minimum great period using one of the primary T-functions. Also using jump index in designing LFSRs lead to complexity of stream ciphers based on LFSR analysis. In this paper, tried with using of T-functions concepts and jump index, a novel method presented for primary functions design with great period.