U.S. stock index futures indicated a sharply lower open on Tuesday after the People's Bank of China allowed the yuan to depreciate almost 2 percent against the U.S. dollar, pushing the currency to suffer its biggest fall in over two decades.

The central bank's surprising move, which it described as a "one-off depreciation" moved the renminbi's daily peg against the dollar from 6.2298 renminbi against the U.S. dollar, down from 6.1162 on Monday.