Joseph Arthur Padway (July 25, 1891 – October 9, 1947) was an American labor lawyer and politician.

He was appointed legal counsel for the Wisconsin State Federation of Labor three years later.

Padway played a major role in shaping Wisconsin labor legislation between 1915 and 1935.

Upon his appointment as the first general counsel of the American Federation of Labor, he moved to Washington where he served until his death.

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