Works have also continued at the new purpose-built facility.
The race in Texas - set to be the first grand prix in the US since 2007 - was on Wednesday confirmed as the penultimate round on the 2012 F1 calendar by governing body the FIA.
Both the race in Austin and the Bahrain Grand Prix - scheduled for April 22 - were doubts to make it on to the calendar, but were given the green light at Wednesday's meeting of the FIA's World Motor Sport Council in New Delhi.
The announcement will also assuage fears over the future of the Korean Grand Prix, following reports that organisers were struggling to meet the cost of staging the race.
A question mark remains over the Bahrain race, however, with its future dependent on the easing of the civil unrest that has gripped the country for several months.
Austin, meanwhile, appears to be on a much stronger footing after Red McCombs, a founding partner of the Circuit of the Americas, confirmed in a statement today that Ecclestone had been paid the fee required to stage the race.
The statement added that construction would recommence at the site with immediate effect, three weeks after more than 300 workers were ordered to down tools over a contractual row.
"Mr Ecclestone received his cheque today," McCombs said.
"We want to thank the fans supporting us, the local officials and businesses that have encouraged us, the State of Texas, Circuit of the Americas' staff and Bernie himself."
The race in Austin is due to be the first of two new US grands prix, with the Grand Prix of America in New Jersey scheduled for 2013. The deal agreed between the Circuit of the Americas and Ecclestone runs from 2012 through 2021.
The FIA's decision to give the go-ahead to both the US and Bahrain means the calendar remains unaltered from the initial version revealed in August.
The 20-race 2012 calendar begins in Australia on March 18 and concludes in Brazil on November 25.
2012 F1 calendar in full:
March 18: Australia
March 25: Malaysia
April 15: China
April 22: Bahrain
May 13: Spain
May 27: Monaco
June 10: Canada
June 24: Europe (Valencia)
July 8: Britain
July 22: Germany
July 29: Hungary
September 2: Belgium
September 9: Italy
September 23: Singapore
October 7: Japan
October 14: Korea
October 28: India
November 4: Abu Dhabi
November 18: United States
November 25: Brazil