The invention discloses a low-carbon nickel-chromium-molybdenum-niobium alloy stainless-steel seamless pipe. The stainless-steel seamless pipe contains the following ingredients in percentage by weight: 58% of nickel, 20%-23% of chromium, 8%-10% of molybdenum, 3.15%-4.15% of niobium, 5% of iron, 0.4 of aluminum, 0.4 of titanium, 0.1% of carbon, 0.5% of manganese, 0.5% of silicon, 1% of cobalt, 0.015% of phosphorus and 0.015% of sulfur. The stainless-steel seamless pipe is produced by the steps of: (1) drilling a hole in the center of a blank and inspecting the blank; (2) heat-treating the blank after hole drilling; (3) acid-washing the blank after heat treatment; (4) coping, lubricating, cold drawing and rolling, and deoiling the acid-washed blank; (5) judging whether a finished product requirement is met, if so, implementing solid solution heat treatment, straightening, stationary cutting and acid washing on a finished product; (6) if not, implementing solid solution heat treatment, straightening, stationary cutting and acid washing on an intermediate product, and repeating the step (4); and (7) inspecting the finished product, spraying words, packaging and weighing the finished product, and delivering the finished product out from a warehouse. According to the stainless-steel seamless pipe, the corrosion resisting performance of the surface is enhanced, the performance standard is optimized, the manufacturing cost is lowered and the production process is simple.