It is reported for the first time that a 30 ps pulse is generated from the short cavity dye laser pumped by a copper bromide laser with 25 ns pulsewidth and 10 kHz-repetition rate, when mixing an amount of saturation absorber DODCI with gain medium Rh6G solution. Theoretical considerations about the pulse compression by this method are shown to agree with the experiment. Furthermore, the synchronous amplification and tuning of the dye laser pulse have been achieved with a dye amplifier-dispersion system, and reached almost Fourier-transform limit.