The present disclosure provides a method and device in a node for wireless communications. A first node transmits a first signal, and the first signal is used for random access; in response to transmitting the first signal, monitors a first-type channel in a first resource set to detect a first-type signaling; monitors the first-type channel in a second resource set to detect a second-type signaling; receives a target signaling, the target signaling is used to determine a target time; and when the target signaling is a third-type signaling, in response to receiving the target signaling, stops monitoring the first-type channel in the first resource set after the target time; when the target signaling is a fourth-type signaling, in response to receiving the target signaling. The above method can quickly recover a beam for unicast service and a beam for PTM/multicast groupcast service after beam failure.