The exact soliton solution is analyzed based on the variable coefficient nonlinear Schrdinger equation including the decreasing dispersion and periodically lumped-amplification by a simple transformation. Meanwhile, the transmission, amplification and recovery of soliton is achieved in dispersion-decreasing and periodically lumped-amplification (DDPLA) optic fiber link. The results show that periodic amplification and recovery of the soliton could be realized through the balance among the dispersion, loss and amplifier gain. Moreover, regulating the gain of the amplifier according to the fiber loss and the amplification period, or adjusting the amplification period on the basis of the fiber loss and the amplifier gain, the periodic amplification or recovery of soliton obtained in the DDPLA could be realized. In addition, the stability of soliton and interaction between adjacent solitons are discussed numerically. The obtained results are theoretical significance to soliton transmission and the exact configuration of periodic amplifier in real dispersion-decreasing and periodic amplification link.