Josef Franz von Sales Johann Baptist Karl Nikolaus von Flüe Amrhyn (11 February 1800 in Lucerne, Switzerland – 7 April 1849), was a Swiss politician who served as the second Chancellor of Switzerland from 1831 to 1847.

Son of former Diet President Joseph Karl Amrhyn, he studied at the Pestalozzi school of the château Yverdon (1810-1812), then at the gymnasium and lyceum of Lucerne before pursuing legal study at Göttingen, Freiburg-im-Brisgau, and Paris (1820-1823).

He began his career as a private secretary to his father before being named deputy magistrate in Lucerne in 1824, where he would play a controversial role in the trial of the murder of Franz Xaver Keller.

Catholic and moderately liberal, he was opposed to the objectives of the Sonderbund (an alliance of Roman Catholic cantons) and resigned in 1847 for his refusal to declare war against the coalition and therefore against the canton of his hometown, Lucern.

On 7 April 1849, his body was discovered in the River Reuss.