A buffer assembly for front forks has an oil-cylinder type buffer device disposed in one stay and a spring type buffer device disposed in the other stay. The oil-cylinder type buffer device has an adjustable screw, an adjusting rod, an adjusting device, an oil cylinder, elastic members, padding members, a shaft, a hollow seat, a spring, and a lower stay. The spring type buffer device has an adjustable bolt, an upper stay, an upper rod, an upper seat, soft pads, hard pads, a lower seat and a lower rod.