The redshift of the electromagnetic waves is a powerful tool for calculating the distance of the objects in space and studying their behavior. However, physicists' misinterpretation of why Redshift occurs has led us to a misunderstanding of the most cosmological phenomena. The paper introduces Quantum Redshift (QR) by using the quantum structure of the electromagnetic waves (QSEW) In the Quantum Redshift, although the Planck constant is the smallest unit of three-dimensional energy, it is consisting of smaller units of one-dimensional energy. The maximum energy of each period of the electromagnetic waves is equal to the Planck constant hence, the capacity of each period is carrying one-dimensional quanta energy. However, in the QR, at the emitting time of the electromagnetic waves, their periods are not fully filled. On the other hand, they are interested in sharing quanta energies with each other to have full filled periods. Sharing the quanta energies ofا some periods between other periods is the reason for destroying some periods and decreasing the frequency of the electromagnetic waves. Our other studies show Quantum Redshift can well explain the whole phenomenon of the universe, and real data support our theory. The quantum redshift rejects the big bang theory, expansion of space and dark energy. It predicts dark matters and describes CMB. The paper obtains the basic equation of the QR for use in future papers.