A direct simultaneous detection of electron (e^-) and positron (e^+) bunches was successfully performed using wideband beam monitors and a detection system at the e^+ capture section of the SuperKEKB B-factory. The time intervals between the secondary-generated e^- and e^+ bunches were measured to investigate their dynamical capture process. The results show that the time intervals were measured in the range of 20–280 ps on average, and the line-order switch of the e^- and e^+ bunches and their dynamical phase-slip process in the axial direction were clearly observed as a function of the capture phase of accelerating structures. In this report, the dynamical capture and phase-slip process for the e^- and e^+ bunches under the two-bunch acceleration scheme is described in detail. This study opens up a new window for direct observation of the e^- and e^+ capture process at any present and future e^+ sources.