A sample rate converter and a method of converting a sample rate are disclosed herein. The sample rate converter includes a data delay unit, a clock rate conversion unit, a Lagrange polynomial filter unit, a resample position calculation unit, and a resample position compensation unit. The data delay unit delays signals in response to an input clock signal. The clock rate conversion unit converts the sample rate of the signals. The Lagrange polynomial filter unit performs a filtering function on the signals whose rate has been converted. The resample position calculation unit outputs the value (Dint, dfrac) of the resample position of the signals based on a set resample ratio value. The resample position compensation unit corrects the error value of the signals by applying the value (Dint, dfrac) to the signals, and outputs a final signal.