Shipp scored in the fourth, 54th and 59th minutes as the Fire scored first before falling 2-1 behind and then skipping away to a 5-2 lead.
The first-year attacker won the awards ahead of New York's Bradley Wright-Phillips and Real Salt Lake's Javier Morales who also scored hat-tricks.
Shipp is the first Fire player to receive Player of the Week award since Week 21 last season when Chris Rolfe scored a brace against DC United.
2014 MLS Player of the Week
Week 10: Harry Shipp (Chicago Fire) Week 9: Joao Plata (Real Salt Lake) Week 8: Bradley Wright-Phillips (New York Red Bulls) Week 7: Nick Rimando (Real Salt Lake) Week 6: Clint Dempsey (Seattle Sounders) Week 5: Clint Dempsey (Seattle Sounders) Week 4: Graham Zusi (Sporting Kansas City) Week 3: Bernardo Añor (Columbus Crew) Week 2: Jermain Defoe (Toronto FC) Week 1: Nick Rimando (Real Salt Lake)
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