In a televised briefing, chief military spokesperson Daniel Hagari said Israeli forces had gained "operational" control over the "Philadelphi Corridor", using the Israeli military's code name for the 14 km-long corridor along the Gaza Strip's only border with Egypt.
"The Philadelphi Corridor served as an oxygen line for Hamas, which it regularly used to smuggle weapons into the area of the Gaza Strip," Hagari said.
The border with Egypt along the southern edge was the Gaza Strip's only land border that Israel had not controlled directly.
Earlier on Wednesday, Israel sent tanks on raids into Rafah despite an order from the top United Nations court to immediately halt the assault on the city.
The World Court said Israel had not explained how it would keep evacuees from Rafah safe and provide food, water and medicine.