The bomb was placed under a parked auto and exploded as Mostafa El-Nemr's convoy was passing, killing the two officers, ages 45 and 19, and injuring about five other policemen.
The Health Ministry said along with the one death, four others were wounded.
The General is the security chief for the coastal Egyptian city.
A policeman died on Saturday in a bomb attack in Egypt's Alexandria which hit a convoy of the city's security chief, officials said.
Photos on social media that Reuters could not independently verify showed a burnt out vehicle and smoke at the site of the blast.More news: Trump Readies a Hefty Penalty on China
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The country has been under a state of emergency since April 2017, when suicide bombings struck two Coptic Christian churches in Alexandria and Tanta on Palm Sunday in an attack claimed later by ISIS.
Security authorities in Egypt are intensifying military operations against the group and are also tightening security across the nation in the lead-up to the presidential polls.
Daesh claimed the 2015 bombing of a Russian airliner carrying tourists from the South Sinai resort of Sharm el-Sheikh, which killed all 224 people on board.
The deadline has since been extended and the armed forces have launched their most comprehensive campaign yet to end the five-year-old jihadist insurgency.