The invention discloses a medium-and-long term typical daily load curve prediction method based on function type nonparametric regression which comprises the following steps: according to an existing historical daily load curve, based on a functional data analysis theory and a nonparametric kernel density estimation method, establishing a functional nonparametric regression prediction model; and by considering a daily load factor and a minimum load factor of a typical day to be predicted, establishing a quadratic programming model to correct a prediction curve of the functional nonparametric regression prediction model, and finally, obtaining the prediction curve meeting a load characteristic index requirement of the typical day to be predicted. A simulation example based on typical daily load data of a certain provincial power grid in China and PJM (Pennsylvania-New Jersey-Maryland) electric power company in America proves that the method disclosed by the invention is simple and practical, and is accurate in prediction result. The method has a god popularization value and application prospect.