Provided are a video picture component prediction method and apparatus, and a computer storage medium. The method may comprise: acquiring a reference value set of a first picture component of a current block; determining, from the reference value set of the first picture component, multiple first picture component reference values; respectively carrying out first filtering processing on a sample value of a sample corresponding to each of the multiple first picture component reference values to obtain multiple filtered first picture reference sample values; determining reference values, corresponding to the multiple filtered first picture reference sample values, of a picture component to be predicted; according to the multiple filtered first picture reference sample values and the reference values of the picture component to be predicted, determining a parameter of a component linear model; according to the component linear model, carrying out mapping processing on a reconstruction value of the first picture component of the current block to obtain a mapping value; and according to the mapping value, determining a prediction value of the picture component to be predicted of the current block.