The present work explores the possibility of predicting future waves by extending the Kalman filter algorithm by incorporating the spatial distance between two points. Experimental data at 2D tank are used to validate the effectiveness of the proposed method. When causality limitation is fulfilled, it is found that 3–8 s or several cycles of waves ahead can be predicted in model scale, depending on the distance between the two points. If a scaling of 1/100 is adopted, this means 30–80 s waves ahead can be estimated. The longer the distance, the longer future predictable time will be. Response predictions using wave prediction data are also investigated. The results for the response prediction also exhibits high accuracy, with even higher predictable future time (80–120 s ahead given 1/100 scale ratio) compared to its associated predictable future time of waves.