The shape of oriental languages is different from that of western languages because the alphabet and the writing method are different. Thus western handwriting models cannot be applied directly to oriental languages although many handwriting models have been propose for alphabet-based languages. In this paper, we analyze Korean handwritten scripts and parameterize their characteristics. The parameters are used to generate various handwritten Korean scripts via our proposed model, the Beta-Velocity model. In order to generate Korean characters that consist of cursive strokes, we adopt a Beta distribution curve. The Beta distribution curve basis enables us to make the velocity model asymmetric. Combining these features, we can synthesize different Korean handwriting scripts by controlling the parameters. The proposed model can generate large amounts of data for on-line handwritten recognition systems, and it can support various graceful fonts for a commercial word-processor.