Frenchman Todt, 63, is taking on the independent candidate Ari Vatanen in October's elections, and has been controversially backed by the incumbent Max Mosley.
"I have known Jean for many years," Ecclestone said in Singapore on Friday. "He is a most reliable, gifted and trustworthy person.
"He is determined and dedicated to whatever goals he sets himself and I admire and respect him greatly for everything he has achieved.
"The FIA needs a president that is strong, capable and with experience at the highest levels of motor sport.
"Jean is by far the most knowledgeable and capable candidate for this vitally important role. I hope everybody will support his candidacy," the Briton added.