Moses Appaqaq Jr. (born April 2, 1946) is a soapstone carver, former retail clerk, and former territorial-level politician from Sanikiluaq, Northwest Territories (now Nunavut).
Appaqaq ran for a seat in the 1979 Northwest Territories general election, he won the Hudson Bay electoral district and his first term in office.
Appaqaq was defeated running for a third term in office by Charlie Crow in the 1987 Northwest Territories general election.
Appaqaq attempted a return to politics running in the Hudson Bay electoral district in the 1999 Nunavut general election.
Kattuk and Appaqaq faced each other again in the 2004 Nunavut general election; he was defeated for the second time in a row.