Abstract: By application of Parseval equality, this paper deduces some summation formulae of infinite series,such as ∞∑n=1 1/n^2k,∞∑n=1 n^2/（n^2＋a^2）^1＋k and ∞∑n=1 n^2/（n^2-a^2）^1＋k（k≥1）.

Key words: Parseval equality, infinite series, summation formula