He also gave a clear signal of possible intent and assured the Italian company not only has security and backing during a difficult period, but, another long-term deal with the sport in prospect.
After hearing of continuing complaints from four-time champion German Sebastian Vettel of Ferrari, whose expletive-riddled anger had been aired widely after last month's Belgian Grand Prix, the sport's commercial boss issued a rare official public statement.
"We continue to have full confidence in the safety, quality and suitability of its tyres. Within the constraints of safety considerations, which are always paramount, Formula 1 encourages Pirelli to provide tyre compounds with performance because tyre degradation contributes to the challenge and entertainment of a Formula 1 race.
"When doing so, Pirelli provides strong guidance to competitors about any performance limitations of the tyres supplied.
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"Competitors should heed Pirelli's expert advice when setting their race strategy and tactics, and if they do not, it is at their own risk.
Ecclestone's support for Pirelli not only ended the immediate argument about their tyres following the high-speed blowouts suffered by Vettel, during the Belgian race, and fellow-German Nico Rosberg of Mercedes, during Friday practice, but also put the safety emphasis back on their teams.
Ferrari had chosen to run the Belgian race using a risky one-stop strategy for Vettel.
Ecclestone's comments come at a time when there is much speculation about who will win the next three-year tyre contract for Formula One, from 2017, with Michelin reportedly also in the running.
Ecclestone's statement added: "Pirelli has offered to provide to each car a single set of tyres to last for an entire event. While we know they would be very capable of it, a race with no pit stops would be less exciting.
"Thank you, Pirelli, for helping us to deliver excitement to Formula 1 fans."
In the wake of the blowouts at Spa-Francorchamps, and widespread amazement at their proposal to increase advised minimum tyre pressures by five psi this weekend, Pirelli also reacted again.
Instead of five psi, they were considering only two, according to paddock sources. A final statement from Pirelli was expected after second free practice on Friday evening.