A complex moving/rotating pivot shaft device is applicable to a double-screen or flexible screen to minify the assembling/moving space of the components. The complex moving/rotating pivot shaft device includes an assembly of a fixing seat and a moving module. The moving module includes an operation arm, a guide section disposed on the operation arm and a bridge unit disposed between the operation arm and the fixing seat. The bridge unit has a shaft pillar, a reciprocally movable bolt and a guiding section in cooperation with the guide section, whereby the operation arm can move along the guiding section to reach a set position. Thereafter, the operation arm can rotate around the shaft pillar of the bridge unit to achieve opening/closing effect.