The disclosure provides a method and a device in a User Equipment (UE) and a base station for wireless communication. The UE first receives K downlink signalings, the K downlink signalings indicating K time-frequency resources respectively; then the UE determines K1 time-frequency resource(s) from the K time-frequency resources, only the K1 time-frequency resource(s) among the K time-frequency resources needing no listening before wireless transmission therein; and finally the UE transmits target information in a target time-frequency resource; wherein the target time-frequency resource is one of the K1 time-frequency resource(s) determined according to a predefined criterion, and the K time-frequency resources are all deployed on unlicensed spectrum. The disclosure transmits the target information in the target time-frequency resource by designing a predefined criterion, improving the reliability of transmission of uplink channel in unlicensed spectrum scenarios, particularly the reliability of transmission of uplink control information.