The cape Starr wore in the 1965 Richard Lester film fetched $97,600 (£61,000), while Harrison's jacket sold for $86,400 (£54,000) at the Omega Auctions sale on Thursday (20Mar14).
Both items were expected to go for between $32,000 (£20,000) and $48,000 (30,000).
Meanwhile, a piano used by Sir Paul MCCartney and John Lennon while they were composing Yesterday and Help! was bought by a South American collector for $92,000 (£57,500).
A cape, suit and sheet of handwritten lyrics, which once belonged to MCCartney, were withdrawn from the auction following a last-minute legal challenge from the rocker.
Auctioneer Paul Fairweather tells the Bbc, "Unfortunately the lawyers have claimed that Paul would never have given any clothing away."