A communication apparatus has a communication function for performing wireless communication using one of a first mode of performing first communication with a partner apparatus via another apparatus, a second mode of performing second communication with the partner apparatus not via another apparatus, and a third mode of concurrently performing the first communication and the second communication. When the third mode is the operation mode of the communication function, the communication apparatus controls the communication function so as to activate a function of the second communication after executing processing to establish a connection for the first communication. When the connection has not been established even after a predetermined time has elapsed since the start of connection processing for the first communication, the function for the second communication is activated even if the connection for the first communication has not been established.