The deal was based on a valuation of about $1.2 billion (902 million euros) for the Eurosport Group.
TF1 will still be able to exercise a put option over the remaining 49 percent, which would potentially increase Discovery's ownership to 100 percent, the companies said in a statement.
The Eurosport network reaches 133 million homes in more than 50 countries in 20 languages across Europe.
TFI expects to retain its 80 percent interest in the Eurosport France unit until at least 2015.
Silver Spring, Maryland-based Discovery has been investing steadily in Europe, including the acquisition of SBS Nordics last year.
(Reporting by Jennifer Saba in New York; Editing by Lisa Von Ahn)
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