The Wigner-Yanase skew information of trapped ions in a standing-wave field is investigated and the revival period is also obtained. It’s found that the period is the same as revival time of ion population inversion. The analytical solution and numerical simulation are analyzed. The revival period of Wigner-Yanase skew information is found to decrease with the increasing of Lamb-Dicke parameter, and increase with the increasing of ion mean vibration phonon number. The revival time will be longer when the ion mass center is moved from wave node to anti-node. It is theoretically proved that the initial state information of the ions is always 1/2 when vibration state of trapped ions is in coherent state. The characteristics of quantum entanglement between the ion and standing wave laser field are analyzed.