The leaflets, addressed to “everyone in Gaza City”, set out routes out of the city to designated safe areas further south and warned the urban area would “remain a dangerous combat zone” as the army hits Hamas targets.
Israel issued the first formal evacuation order for part of the city on June 27, and two more in the following days.
In the leaflet drop, the army said residents would be able to take two safe roads “quickly and without inspection from Gaza City to shelters in Deir Al-Balah and Al-Zawiya”.
Tens of thousands more residents have already fled Gaza City since the Israeli army launched the latest offensive in the city’s eastern Shujaiya district and ground battles have since raged.
The two latest orders covered central and western districts where tanks and troops have moved in this week.
Strikes have also hit Deir Al-Balah, an area where Palestinians have been urged to move to for safety.
The United Nations on Tuesday expressed alarm at Israel’s evacuation orders, saying they tell Palestinians to go to zones where there is fighting.
The October 7 Hamas attack on southern Israel resulted in the deaths of 1,195 people, mostly civilians, according to an AFP tally based on Israeli figures.
The fighters also seized 251 hostages, 116 of whom remain in Gaza, including 42 the military says are dead.
Israel’s military offensive has killed at least 38,243 people in Gaza, also mostly civilians, according to figures released Tuesday by the health ministry.