Prediction of settlements over tunnels is important for protecting adjacent structures. Proposed herein are three mathematical models for predicting long-term settlements over tunnels due to shield driving based on short-term settlement readings, i.e., (1) the Logarithmic Model, (2) the Hyperbolic Model and (3) the Hybrid Model. Prediction was made for settlements at four sections based on the readings obtained in the first stage construction of the Taipei Rapid Transit Systems and the results were compared to confirm the validity of these three models.