A video coding apparatus includes a memory for storing a coded picture signal used as a reference picture signal, a vector detecting circuit for detecting, from plural field picture signals or plural frame picture signals which are read out from the memory and the reference picture signals, an optimum motion vector regarding a picture to be coded, a prediction signal producing circuit for subjecting a spatial-temporal filtering to a reference picture designated by the optimum motion vector to produce a prediction signal, and a coding circuit for coding the to-be-coded picture signal on the basis of the prediction signal.