The photoelectron energy spectra(PESs)excited by narrow bandwidth attosecond x-ray pulses in the presence of a few-cycle laser are quantum-mechanically calculated.Transfer equations are used to reconstruct the detailed temporal structure of an attosecond x-ray pulse directly from a measured PES.Theoretical analysis shows that the temporal uncertainties of the pulse reconstruction depend on the x-ray bandwidth.The procedure of pulse reconstruction is direct and simple without making any previous pulse assumption,data fitting analysis and time-resolved measurement of PESs.The temporal measurement range is half of a laser optical cycle.