The Istanbul based Hurriyet daily said on Friday the F1 chief executive has in a letter demanded $26 million per race from the Turkish government beginning in 2011, up from a previous $13.5m.
The newspaper said Ecclestone wants a decision by the end of December.
It is reported that the 79-year-old said in his letter to sports minister Faruk Nafiz Ozak that countries like India are offering as much as $30m per race.
But an unnamed Turkish official said: "In countries such as France and Germany, the formula one CEO is requesting something between $1.5 million and $4 million."
Turkey hosted its first F1 race at the purpose-built Istanbul Park in 2005, earning rave reviews for its unique turn 8, but a conspicuously small crowd numbering just 30,000 turned up for this year's race day.
In 2007, Ecclestone agreed to rent the track until 2021.