The statement said the clashes were in the Adrar des Ifoghas mountains of northeastern Mali.
Chad has deployed some 1,800 troops in Mali as part of the French-led military intervention begun in January to wrest control of northern Mali from the Islamic radicals linked to al Qaeda.
The Islamic rebels retreated to mountainous hideouts near Mali's northern border with Algeria, after being expelled at the end of January by French and Malian forces from the major towns in northern Mali.