The amount of $1.25 billion must still be endorsed by the IMF board following an "expert-level agreement" announced after a visit to Cairo, an IMF statement said.
According to Egypt's finance minister, Amro al-Garhi, the tranche should be disbursed in the second half of June.
"This agreement is a vote of confidence by the IMF staff in the continued implementation of the Egyptian authorities' programme" on economic reform, the IMF statement said.
S&P "affirmed its 'B-/B' long- and short-term foreign and local currency sovereign credit ratings on Egypt".
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"The outlook is stable," its statement said.
Since the 2011 revolt against Hosni Mubarak, the Arab world's most populous country has seen a sharp decline in tourism revenue and reduced foreign investment, caused by political instability and security issues.
In November last year, the IMF approved the $12-billion three-year aid package for Egypt, at the time releasing an initial $2.75 billion.
Before November, the official rate was 8.83 Egyptian pounds to the US dollar, but it has since weakened and on Friday was averaging 18 pounds per dollar, according to the Central Bank's website.
Today's IMF announcement comes after a visit to Cairo by a delegation charged with reviewing Egypt's economic reform programme, its statement said.
"This agreement is a vote of confidence by the IMF staff in the continued implementation of the Egyptian authorities' programme," the statement said.