The invention discloses a chaotic encryption method without multiplication and division of a high-speed high-precision chaotic function and an encryption circuit, the encryption circuit includes a plaintext chaotic queuing-chaotic XOR circuit and a chaotic sequence generator; the queuing codes and the chaotic signal are firstly carried out the XOR to be converted into the nd sites of chaotic queuing codes as the address codes, 8 data selectors select 8 from the 8 multiplied by 2 sites of parallel plaintext to be taken as the 1 byte chaotic re-queuing plaintext, then the XOR with the another chaotic signal is carried out to produce 1 byte ciphertext, 2 of cp can encrypt 8 multiplied 2 sites of ciphertext; each cp of the chaotic sequence generator generates 8 multiplied by (2 plus nd) sites of chaotic outputs, wherein, the deduction calculation of N minus 1 minus the absolute value of xi and so on are realized by using XOR, the multiplication of Mui multiplied by data is realized by using the deduction; the invention has an queuing code key, an initial value key and a Mu value key, the safety is high; the nd is equal to 4, the encryption of 128 sites of plaintext needs about 1.7Mus; the invention can be realized by using FPGA, CPLD and ASIC, which is used in the network safety technology field, in particular to a wireless network and a wireless sensor network.