The euro dropped to $1.3303 around 2200 GMT from $1.3356 in New York late Monday.
The dollar rose to 82.00 yen from 81.70 yen on Monday.
The Commerce Department reported that factory orders for November rose 0.7 per cent, beating analysts' forecast of a 0.3 per cent fall in orders.
And US automakers reported strong sales in December and predicted strong sales growth this year, further supporting estimates that the economic recovery was gaining momentum.
In late New York trade, the pound rose to $1.5586 from 1.5483 Monday.
The dollar rose against the Swiss currency, to 0.9482 Swiss francs from 0.9332.
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