Mohammed Ibrahim said in a statement that the rare find in a preserved wooden sarcophagus dates back to 1600 BC, when the Pharaonic 17th Dynasty reigned.
He said the mummy appears to belong to a high official. The sarcophagus is engraved with hieroglyphs and decorated with inscriptions of birds' feathers.
The exact identity of the well-preserved mummy will now be studied, Mr Ibrahim said, adding that it was discovered by a Spanish mission in collaboration with the Egyptian antiquities ministry.
Antiquities department head Ali Al-Asfar said the two-metre sarcophagus still bears its original colouring and writings.
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