The invention relates to a method for manufacturing a nickel-based alloy steel coiled tubing. The coiled tubing comprises the following components, by percentage composition, of 40-45% of Ni, 20-23% of Cr, 2-3% of Mo, 1.8-2.8% of Cu, less than or equal to 1.0% of Mn, less than or equal to 0.2% of Al, less than or equal to 0.02% of S, 0.7-1.0% of Ti, less than or equal to 0.04% of C, less than or equal to 0.45% of Si and the balance Fe and inevitable impurities. The manufacturing method comprises the following steps that steel strips are welded, the damage is detected, short-disc steel strips are connected to reach the specified meter number, a strip supply device is used for supplying the steel strips, the supplied steel strips are cleaned by a cleaning device, the steel strips pass through a roller pressing device and a pipe forming device, laser welding and heating, finishing and winding are carried out. According to the method, the improvement is made in multiple aspects such as thecomponents and the production process of the steel strips forming the coiled tubing, strip supply equipment and a welding method, so that the manufactured coiled tubing is high in strength, and moreover, the corrosion resistance of the coiled tubing is also improved.