The invention belongs to the technical field of polymer materials and provides a preparation process of amine terminated polyether. In the process, polyether polyol with a number-average molecular weight of more than 100 is used as a raw material, and polyetheramine is prepared by catalytic reduction and amination in the presence of hydrogen, an aminating agent and a skeleton nickel catalyst, wherein the skeleton nickel catalyst comprises the following components by mass percent: 80-95% of metal nickel, 5-20% of metal aluminum and 0.5-5% of one, two or three of chromium, iron, copper or zinc; and the skeleton nickel catalyst and the aminating agent can be circularly applied after being processed. The whole preparation process has the advantages of good route selectivity, high conversion rate, low environmental pollution, and convenience in posttreatment.