Current sharing among light-emitting diode (LED) strings is significant for reliability and long life. The capacitive balancing was widely used with low losses and small volume. However, the capacitive balancing scheme adopting the impedance matching causes large circulating current, and its precision of current sharing is restricted due to impedance tolerance. In addition, the high reactive power with pulse frequency control brings high power stress on the volt-ampere rating (VAR) of the half-bridge switches and arouses heavy electromagnetic interference. In this study, the interleaved structure of the upper and lower half-bridge is proposed to alleviate the mismatching of capacitance impedance. Besides, the wide range of LED dimming capability is accomplished by using the switched-controlled capacitor (SCC) unit with the constant frequency of power switches. The circuit analysis, SCC modulation, current sharing, LED dimming and performance comparisons are examined in detail. All the superior performance of the proposed LED driver is verified by simulation prototype and experimental platform with four-channel LED strings and rated power of 23 W. The accordance of theoretical analysis, simulation waveforms and experiment results further confirms the feasibility of the proposed LED driver.