A system for correcting turbo lag may include an engine provided with a plurality of cylinders, an intake manifold for supplying air to the plurality of cylinders, and an exhaust manifold for exhausting exhaust gas generated in the plurality of cylinders, an intake passage connected to the intake manifold so as to supply fresh air to the intake manifold, an exhaust passage connected to the exhaust manifold so as to exhaust the exhaust gas gathered in the exhaust manifold, a turbo charger provided with a turbine mounted at the exhaust manifold or the exhaust passage and rotated by the exhaust gas and a first compressor mounted at the intake passage and connected to the turbine so as to rotate with the turbine and compress the air of the intake passage, a bypass passage branching off at a first point of the intake passage and joining the intake passage at a second point of the intake passage downstream of the first point, a second compressor mounted at the bypass passage and compressing the air passing through the bypass passage, and driving means generating power for operating the second compressor and selectively supplying the power to the second compressor through a power delivery device, wherein the power delivery device comprises a plurality of pulleys, at least one of belts and shafts connecting each pulley to the second compressor, the driving means, or other pulley, and a tensioner maintaining tension of the belt.