The present invention relates to a process for removing acetylenes from olefins by using an ionic liquid-based solution, and particularly to a process for removing a small amount of acetylenes contained in olefins by using an ionic liquid-based solution where copper halide (CuX, X=halogen atom) is dissolved. In an ionic liquid-based solution used in the present invention, copper halide (CuX) is stabilized by ionic liquid, thus preventing monovalent copper ion (Cu+) from being oxidized into divalent copper ion (Cu2+), maintaining the superior activity of monovalent copper ion (Cu+) in removing acetylene for a long period of time, and remarkably increasing the selective removal of acetylene-based compounds. Moreover, an ionic liquid-based solution used in the present invention may serve as an extracting solution as well as an absorbent, thereby facilitating the operation and reducing equipment cost in comparison to the conventional extracting agent used in a slurry phase.