We report an all-fiber dissipative soliton passively mode-locked Er-doped fiber laser. By adjusting the pump power and the polarization states, we can obtain the two-soliton and three-soliton bound state dissipative solitons further. Utilizing anomalous dispersion fiber to compress the pulse duration of wide-bandwidth two-soliton bound dissipative solitons, compressed pulse width is fitted to 96 fs by hyperbolic secant, and the calculated time-bandwidth product is 0.324, indicating the near transform-limited pulse. The broadband spectrum is obtained thanks to the dispersion management in the cavity and high modulation depth (20%) of carbon nanotube (CNT) saturable absorber. On this basis, the dissipative soliton with the spectral width of 35 nm (center wavelength is 1.57 μm) is obtained, which is also the widest spectrum based on the dissipative soliton produced by CNT.