Provided are channel configuration and power control methods and devices, a user equipment, a base station and storage mediums. The channel configuration method is configured to receive a second channel characteristic assumption of a control channel resource set configured by a second communication node; where the control channel resource set is formed by at least one of a first type of search space and a second type of search space; the second channel characteristic assumption is used for configuration of control channel resources in the second type of search space; and the control channel resource transmitted by the second communication node are received according to the second channel characteristic assumption.