Abstract: Disclosed is a method of continuously raising and lowering an oilfield shaft drillstring using a double traveling slips device, wherein two sets of traveling slip mechanism form the two traveling slip mechanisms to form the two traveling slips device, the first set of traveling slip mechanisms and the second set of traveling mechanisms are respectively mounted on a pithead apparatus (10) to constitute a continuous raising and lowering system. In the process of raising and lowering an oilshaft drill-string, the slips (1, 4) of each set of traveling slip mechanisms alternately clamp or release the drillstring, ensuring a continuous raising and lowering motion for the drillstring (9) from beginning to end under the clamping of the slips, and achieving uninterrupted operation. Further disclosed is a double traveling slips device.