Using frequency-doubled Nd∶YAG laser pumped by laser-diode-array as pump source, a high output power, high conversion efficiency, all-solid-state, quasi-continuous-wave Ti∶sapphire laser system is achieved. The maximum of the Ti∶sapphire laser output power of 4.7 W and the conversion efficiency of 19.6% are obtained at 532-nm pump powr of 24 W. To ensure the ideal broadband output of Ti∶sapphire laser, two sets of Ti∶sapphire resonator mirrors were used, respectively. One is from 750 to 850 nm, the other is from 850 to 950 nm. And the transmissivity is 5%, 10%, 15% respectively for two sets. Because the centric wavelength of the resonator laser is nearly 795 nm, the maximum of the Ti∶sapphire laser output power is 4.7 W with the first set of mirror and the transmissivity of the output mirror is 10%. The second set of mirror can generate the output power of 3 W, which is high enough to achieve broadband tuning for the future.