Harry Elliott Alger (April 8, 1924 – January 27, 2010) was a provincial level politician from Alberta, Canada.

He served as a Member of the Alberta Legislature from 1982 until 1989.

He defeated Western Canada Concept leader and Incumbent Gordon Kesler and four other candidates in a high-profile race to win his first term in office.

He held the district for the Progressive Conservatives, succeeding fellow PC member George Wolstenholme in a safe district.

Alger was re-elected to his second term and final term in office with a greatly reduced plurality in the 1986 Alberta general election.