The foehn is a warm, dry wind descending in the lee of a mountain range. The strong wind in the upslope is mainly responsible for the induced foehn wind. The mechanism of foehn and the role of water vapour in the foehn are studied in this thesis by means of numerical modeling. Meanwhile, a numerical integration is conducted to simulate the typhoon case occurred on 22 September, 1971, which caused foehn wind in the south-east area of Taiwan.