An apparatus for correcting an error of a clock signal may include a phase adjuster that corrects an error of half-rate clock signals based on an error correction signal to output an error-corrected clock signal, a phase splitter that outputs quadrature clock signals from the error-corrected clock signal, an error detector that outputs an internal clock signal based on one of the quadrature clock signals, selects two quadrature clock signals among the quadrature clock signals based on a clock selection signal, and detects errors of the two quadrature clock signals based on an error check signal to output a correction request signal, and a controller that outputs a mode selection signal and the clock selection signal based on the internal clock signal and that outputs the error correction signal and the error check signal based on the mode selection signal, the clock selection signal, and the correction request signal.