A high-power Nd: YVO4 picosecond laser was developed, and the continuously mode-locking with output power of 6 W was realized under 15 W 808 nm pump power, corresponding to optical-to-optical conversion efficiency of 40%. The picoseond laser was amplified to 14 W by a single segment amplifier stage. After frequency multiplication, 7 W picosecond laser was obtained, serving as pump source of Ti∶sapphire oscillator. Being pumped by 4.5 W 532 nm picosecond laser, the pulse trains output with pulse duration compressed to 9.4 fs and average power of 150 mW was obtained. By tuning the cavity length of the Ti: sapphire oscillator to decrease the difference between the two oscillators′ cavity length, self-initiating Kerr-lens mode-locking was realized. The result shows that the picosecond laser pumping could trigger the Ti∶sapphire oscillator mode-locking and output femtosecond pulse trains.