The present invention relates to a composition for forming anti-reflective coating for use in a lithography process in manufacture of a semiconductor device which comprises polymer (A) having a weight average molecular weight of 5,000 or less, and a polymer (B) having a weight average molecular weight of 20,000 or more. The composition provides an anti-reflective coating for use in a lithography which is excellent in step coverage on a substrate with an irregular surface, such as hole or trench, has a high anti-reflection effect, causes no intermixing with a resist layer, provides an excellent resist pattern, and has a higher dry etching rate compared with the resist layer.