It's the first such visit by a Korean president since 1999.
Harper says he and Park will discuss the opportunities created by the Canada-Korea free trade agreement, which was tabled in the Commons in June.
The leaders will also cover other global and regional issues, including developments in the Asia-Pacific region.
Korea is a major Asia trading partner for Canada, with total merchandise trade between the two countries estimated at $10.8 billion in 2013.
The Prime Minister's Office says the free trade agreement is expected to increase Canadian exports to Korea by almost a third.
"Canada and the Republic of Korea enjoy an extraordinary friendship, founded on strong people-to-people ties," Harper said in a statement.
"I look forward to once again meeting with President Park Geun-hye and exploring how to deepen those ties."