Within the t-J model, the mechanism of superconductivity in doped cuprates is studied based on the partial charge-spin separation fermion-spin theory. It is shown that dressed holons interact occurring directly through the kinetic energy by exchanging dressed spinon excitations, leading to a net attractive force between dressed holons, then the electron Cooper pairs originating from the dressed holon pairing state are due to the charge-spin recombination, and their condensation reveals the superconducting ground state. The electron superconducting transition temperature is determined by the dressed holon pair transition temperature, and is proportional to the concentration of doped holes in the underdoped regime. With the common form of the electron Cooper pair, we also show that there is a coexistence of the electron Cooper pair and antiferromagnetic short-range correlation, and hence the antiferromagnetic short-range fluctuation can persist into the superconducting state. Our results are qualitatively consistent with experiments. 74.20.Mn, 74.62.Dh, 74.25.Dw Since the discovery of high-temperature superconductivity (HTSC) in doped cuprates, much effort has concentrated on the superconducting (SC) mechanism 1 . Much experimental evidence, including the factor of 2e occurring in the flux quantum and in the Josephson effect, as well as the electrodynamic and thermodynamic properties, supports the pairing theory 2 . The single common feature of cuprate superconductors is the presence of the two-dimensional (2D) CuO 2 plane 3 , then it is believed that the relatively high SC transition temperature T c is closely related to doped CuO 2 planes. The undoped state of cuprate superconductors is a Mott insulator with antiferromagnetic (AF) long-range order (AFLRO), then changing the carrier concentration by ionic substitution or increasing the oxygen content turns these compounds into the SC state leaving the AF short-range correlation still intact 3 . Moreover, the superfluid density in the underdoped regime vanishes more or less linearly with doping, and the SC transition temperature T c is proportional to a positive power of the concentration of doped holes δ (T c ∝ δ in doped CuO 2 ) 4,5 . Therefore there is a general consensus that the HTSC to holes interaction via a magnetic medium, and short-range AF correlation coexists with the SC state.In conventional superconductors, the electrons interact by exchanging phonons. Since this interaction leads to a net attractive force between electrons, the system can lower its potential energy by forming electron Cooper pairs 6 . These electron Cooper pairs condense into a coherent macroscopic quantum state and can move freely without resistance. As a result, pairing in the conventional superconductors is always related to an increase in kinetic energy which is overcompensated for by the lowering of the potential energy 6 . On the contrary, it has been argued that the SC transition in doped cuprates is determined by the need to reduce the frustrated kinetic energy 7 , where ...