The intense few-cycle pulse compression technique based on 250-μm-inner-diameter single fused-silica hollow-core fiber (HCF) and subsequent negative dispersive compression stage by chirped mirrors is researched systemicly. Using the system,we study the influence of parameters like input pulse energy and gas pressure to the final duration and output energy of the compressed pulse. On this basis,7 fs compressed pulses with energy of more than 1 mJ and centre wavelength of 750 nm are obtained through this Ne-filled HCF system,and the driving source is from a 1-kHz Ti:sapphire laser generating 2.7 mJ driving pulses centered at 800 nm with 40 fs duration.