The present disclosure provides a method and a device in a user equipment and a base station used for power adjustment. The UE first receives K downlink signaling(s) and transmits a first radio signal. Any of the K downlink signaling(s) comprises a first field and a second field, the second field of any of the K downlink signaling(s) is used to determine a power offset. A transmitting power of the first radio signal is a first power. A value of each first field of K1 downlink signaling(s) among the K downlink signaling(s) is equal to a first index. The first power is linearly correlated with a sum of K1 power offset(s), which is(are) indicated by each second field of the K1 downlink signaling(s) respectively. The present disclosure can support multiple closed-loop power control processes for one UE so as to improve both efficiency and performance of uplink power control.