The central bank surprised markets when it strengthened the pound on Nov. 11 by 20 piasters against the dollar.
On Tuesday it sold $39.4 million at a cut-off price of 7.7301 pounds to the dollar, unchanged from Sunday, providing 37.74 percent of the amount requested by banks.
The official rate is still far from that on the black market, which was around 8.53 pounds to the dollar on Sunday, making the pound marginally weaker than Sunday's rate of 8.52 pounds, one trader said.
Egypt's reserves have tumbled from $36 billion in 2011 to $16.4 billion in October, and the country has been rationing dollars through weekly auctions to banks, keeping the pound artificially strong.
Last week the central bank said it had changed the way it allocated dollars at its foreign exchange auctions.
It provided fewer banks with dollars but at higher allocations.
Previously, banks in Egypt had been accustomed to receiving a regular quota of dollars at each foreign currency sale. Since the changes, some banks said they were declined dollars at the regular auctions.
The country has been starved of foreign currency since a popular uprising in 2011 ousted autocrat Hosni Mubarak and drove away tourists and foreign investors.
In February the central bank imposed capital controls, limiting dollar-denominated deposits to $50,000 a month in an attempt to fight the black market.
The move caused problems for importers, who could no longer source their foreign currency needs.