A passively mode-locked all-fiber ring soliton laser is constructed based on all-solid Yb-doped photonic bandgap fibers (AS-Yb-PBGF), which provide the laser gain and anomalous dispersion simultaneously. Without using any bulk dispersion compensators, the laser cavity is simple, compact, environmentally stable, and easy to achieve all-fiber configuration. By means of the nonlinear Schrdinger equation, the dynamics of single-soliton operation in the laser is numerically simulated and the optimal parameter is obtained with the split-step Fourier method. In the calculation, when the length of the AS-Yb-PBGF was chosen as 0.4 m and the length of single mode fiber (SMF) as 0.4 m, the single-soliton operation with the pulse duration of 244 fs, the pulse energy up to 14 pJ, in which the time-bandwidth product is 0.32 as nearly the transform-limited pulse, has been shown.