A METHOD OF CLEARING FLEXIBLE PIPES USING FLEXITUBE FROM AN INTERVENTION RIG IN WELLS, characterized in that the method comprises the following steps: a. opening a flanged connection between two flanges (13 and 15) of two legs (12 and 14) of a submarine pipe and installing a pull head (16 and 17) in each of these legs (12 and 14), in which the step of opening the flanged connection and installing the pull heads (16 and 17) comprises attaching the floats (18 and 19) in each of the legs (12 and 14), so that each leg (12 and 14) has a curved section towards the surface, wherein a hood and shuttle tank to collect oily fluid are used in case of leakage; b. moving a rig to the location; c. assembling the hoisting assembly for hoisting the leg of the submarine pipe with the drill string; d. descending the drill string with the hoisting assembly and engage the hook to the pull head; e. hoisting the leg of the submarine pipe through its end using the hoisting assembly coupled to the pull head; f. anchoring the end of the leg of the submarine pipe on the rotary table of the rig using a side door elevator; g. draining the internal pressure of the pipe by means of the connection of a tube; h. disconnecting the pull head and assembling the Surface Flow Tree at the end of the leg of the submarine pipe, and if necessary, connection adapters and to match the end of the leg with the Surface Flow Tree; i. assembling the Flexitube on the Surface Flow Tree and surface lines; j. carrying out the operation of clearing the leg of the submarine pipe with Flexitube; k. cleaning the leg of the submarine pipe with high flow rate seawater circulation; l. disassembling the Flexitube, surface lines and Surface Flow Tree pieces of equipment; m. installing the pull head at the end of the leg of the cleared submarine pipe, assembling the hoisting assembly for hoisting the leg of the submarine pipe with the drill string, and descending the leg of the submarine pipe to the seabed, where the leg of the submarine pipe is located; n. removing the pull heads (16 and 17) from the legs (12 and 14) of the submarine pipe and connecting the legs (12 and 14) via the flanged connection. a. opening a flanged connection between two flanges (13 and 15) of two legs (12 and 14) of a submarine pipe and installing a pull head (16 and 17) in each of these legs (12 and 14), in which the step of opening the flanged connection and installing the pull heads (16 and 17) comprises attaching the floats (18 and 19) in each of the legs (12 and 14), so that each leg (12 and 14) has a curved section towards the surface, wherein a hood and shuttle tank to collect oily fluid are used in case of leakage; b. moving a rig to the location; c. assembling the hoisting assembly for hoisting the leg of the submarine pipe with the drill string; d. descending the drill string with the hoisting assembly and engage the hook to the pull head; e. hoisting the leg of the submarine pipe through its end using the hoisting assembly coupled to the pull head; f. anchoring the end of the leg of the submarine pipe on the rotary table of the rig using a side door elevator; g. draining the internal pressure of the pipe by means of the connection of a tube; h. disconnecting the pull head and assembling the Surface Flow Tree at the end of the leg of the submarine pipe, and if necessary, connection adapters and to match the end of the leg with the Surface Flow Tree; i. assembling the Flexitube on the Surface Flow Tree and surface lines; j. carrying out the operation of clearing the leg of the submarine pipe with Flexitube; k. cleaning the leg of the submarine pipe with high flow rate seawater circulation; l. disassembling the Flexitube, surface lines and Surface Flow Tree pieces of equipment; m. installing the pull head at the end of the leg of the cleared submarine pipe, assembling the hoisting assembly for hoisting the leg of the submarine pipe with the drill string, and descending the leg of the submarine pipe to the seabed, where the leg of the submarine pipe is located; n. removing the pull heads (16 and 17) from the legs (12 and 14) of the submarine pipe and connecting the legs (12 and 14) via the flanged connection.