A tunneling apparatus for use in a pipe jacking method including an excavating apparatus, a head front-end track, a middle-section track, and a rear device. The excavating apparatus includes a transmission device and a chain blade. The transmission device includes a driving device and a sprocket. During construction, the chain blade for excavating rock and earth runs on the head front-end track and the middle-section track. The shape of a head excavation face is the same as that of the cross-section of a pipe section. The rear apparatus includes a jacking device mounted in a construction well. The front end of the middle-section track is connected to the head front-end track, and the tail end of the middle-section track is connected to the rear device. During construction, the driving device drives the chain blade, so that the chain blade runs along the tracks. Blades on the head front-end track excavate the ring-shaped rock and earth in a projection part of the cross-section of the pipe section.