John Paul Wiese (born April 19, 1934) is a senior judge of the United States Court of Federal Claims.

He served as a staff law clerk in the Trial Division of the United States Court of Claims from 1965 to 1966 and as law clerk to Judge Linton M. Collins in the Appellate Division of the United States Court of Claims from 1966 to 1967.

Thereafter, he engaged in the private practice of law with the firms of Cox, Langford & Brown from 1967 to 1969 and Hudson, Creyke, Koehler & Tacke from 1969 to 1974.

From 1974 to 1982 he served on the United States Court of Claims as a trial commissioner.

Wiese was appointed a judge of the United States Court of Federal Claims on October 1, 1982, by operation of law, following enactment of the Federal Courts Improvement Act.