Esawy promised Monday to make "every effort in the coming period to restore security and stability in the Egyptian streets," AFP reported.
The news comes a few days after anti-government protesters stormed several state security buildings, taking confidential documents.
The authorities urged the return of documents, citing "national security" concerns.
Egypt's new interim Prime Minister Essam Sharaf named Esawy, a former security chief, as the country's interior minister on Monday in an attempt to meet protesters' demand.
In Egypt the Interior Ministry is in charge of the security forces.
Esawy further promised that he would take "all necessary measures to restore confidence between citizens and the police."
Sharaf and his new cabinet were sworn in by Egypt's military rulers on Monday. The interim cabinet includes only three ministers who served under the previous regime.
Sharaf was appointed the country's interim prime minister on Thursday after widespread protests against the then premier Ahmad Shafiq.
Shafiq was appointed by ousted Egyptian President Hosni Mubarak during the final days of his regime. Mubarak was ousted on February 11 after 18 days of demonstrations across the North African nation.
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