In general, the link traffic flows of network are observed which resource from each trip original area and go to each trip destination area. That is, by a suitable estimation method, the origin-destination (O-D) trip matrices may be inferred from link traffic flows. Especially in recent years, the vehicle detectors (VD) are used wildly. The data of link traffic flows can be obtained easily through VDs. In this study, the conditional inverse approach is adopted to estimate time-dependent O-D trip demands through a linear equation system which included the flow conservation relationship between link flows, path flows and O-D trips. Through testing, use the solution procedure in different networks is inferring results accurately. The present study is a more general estimation time dependent O-D demand trips method and more application potential in transportation practice operation.