"Dollar strength is here to stay, and it is going to only continue as we move toward less accommodative policy," Jennifer Vail, the head of fixed income at Minneapolis-based US Bank Wealth Management, told Bloomberg News. "We're seeing some continuing signs of stabilisation in growth domestically."
Meanwhile, oil declined, resuming its slide since Opec on Thursday decided not to curb supply to help prices recover. Today's downward trigger was news of a deal to allow the export of oil from land controlled by Kurds in Iraq.
"I am not surprised the price is going down. The market is looking for a renewed sense of direction and trying to figure out if we have hit the bottom or if we are about to go lower again," Michael Hewson, an analyst at CMC Markets, told Reuters.
"I think there is a lot of ebb and flow, and at the moment there is a battle going on between the bulls and the bears in light of the really strong rally we saw yesterday," Hewson added.
In Europe, the Stoxx 600 Index finished the session with a gain of 0.5 per cent from the previous close. France's CAC 40 rose 0.3 per cent, while the UK's FTSE 100 Index climbed 1.3 per cent.
Germany's DAX Index fell 0.3 per cent, though it earlier rose to its highest since July.
Shares of Friends Life Group rose 2.4 per cent after Aviva agreed to pay 5.6 billion pounds (US$8.8 billion) in stock to create the UK's largest insurer.
Shares of BP rallied 4.7 per cent while those of Royal Dutch Shell strengthened 4.1 per cent, amid speculation about a Shell bid for BP.