'Waters of Mars' was the first of three specials from the sci-fi show to air on BBC America and marked the finale to David Tennant's era as the Tenth Doctor.
Over 1.1 million viewers watched the programme on Saturday, ranking 13th in the US among ad-supported cable networks catering for demographics aged 25-54.
"The final specials starring David Tennant have opened the door for new audiences to this iconic series while taking long-time fans on an incredible journey," said Richard De Croce, senior vice president of BBC America.
"Tennant's remaining two specials 'The End of Time Part One' and 'Part Two' are the most-anticipated episodes in the history of the series, which is why we're airing them just a day after their UK premiere."
The 'End of Time' specials are due to premiere on December 26 at 9pm ET/PT and on January 2 at 8.30pm ET/PT respectively on BBC America.