We demonstrate a diode-pumped master-oscillator/fiber-amplifier (MOFA) system consisting of a passively SESAM mode-locking Nd:YVO4 laser and a Yb-doped large-mode-area fiber amplifier, which generates total average power of 24.4 W at 1 064 nm center wavelength, 91.5 MHz repetition rate, and 21.9 ps pulse duration. Power scaling limitations that arise from nonlinear distortions such as self-phase-modulation (SPM) and stimulated Raman scattering (SRS) have not been observed during the whole experiments.