Eleven minutes of prolonged bidding from telephone buyers preceded the final sale - for much more than its pre-sale estimate of $140m.
The final price of $179.3m (£115m) includes commission of just over 12%.
The sale also featured Alberto Giacometti's life-size sculpture Pointing Man, which set its own record.
It is now the most expensive sculpture sold at auction, after going for $141.3m (£90.6m). Both buyers chose to remain anonymous.
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