Weale and Nick Woodbridge will contest the men’s event in Rio de Janeiro on September 12, with Heather Fell, Katy Livingston and Mhairi Spence going in the women’s competition the following day.
Qualification for the World Cup Final is based on athletes’ three best performances at this year’s World Cups.
Weale is the highest placed Briton in the 2009 World Cup rankings.
He goes to the World Cup Final eighth in the men’s rankings courtesy of his fourth place in Hungary, 12th in Italy and 18th in Egypt.
Woodbridge is 25th in the men’s World Cup rankings, which are topped by Hungary’s Adam Marosi.
Spence goes to Rio as the highest placed British woman in 11th place in the World Cup rankings.
Livingston is currently 15th and Fell is 19th.
Egypt’s Aya Medany and Lithuania’s Laura Asadauskaite share the top spot in the women’s World Cup rankings – both have two wins and a second place finish as their top three World Cups scores this year.
The 2009 World Cup Final will be the first to feature the sport’s new combined run/shoot format, which was also used at last month’s World Championships at Crystal Palace.
With 32 athletes of each gender competing at the World Cup Final, the event is a straight final with no qualification round in Rio.