Disclosed are a transmitting and receiving apparatus and method in an adaptive array antenna system capable of real-time calibration. Transfer functions in the transmitting and receiving apparatus are estimated by injecting a calibration signal to each of transmit and receive channels and analyzing the signals that has passed through the transmit and receive channels. An RF CW sinusoidal signal of a single frequency can be used as the calibration signal to simplify a process of signal processing in a baseband. In addition, in the calibration of the receiving apparatus, gains of all receive channels are controlled using an identical signal. Thus, a relative transfer function characteristic of the receive channels is constant irrespective of the gains of the receivers.