When jihadists from the two groups entered Yarmuk on April 1, they took 60 percent of the camp before pulling back into around 40 percent.
They currently have a presence in the south near the Damascus district of Al-Hajar al-Aswad.
Abdel Majid said Palestinian groups control 40 percent of the camp, in its north, and that some 20 percent makes up the front line.
He said Syrian regime aircraft have bombarded Al-Hajar al-Aswad, which is jihadist-held.
A security source in Damascus said only that in Yarmuk the fighting "stops and then starts again".
Chris Gunness, the spokesman for UNRWA, the United Nations refugee agency for Palestinians, expressed alarm at the reports of fighting.
"UNRWA calls for an end to all actions and hostilities that endanger the security and lives of Palestinian and Syrian civilians in Yarmuk, who endure -- and continue to suffer -- extreme humanitarian conditions," he said.
Before the Syria conflict erupted in 2011, Yarmuk was home to 160,000 people, both Palestinian and Syrian.
UNRWA says that just 18,000 still live there.
"There must be active compliance with the obligation to respect and protect civilians in Yarmuk, including by allowing unhindered humanitarian access," Gunness said.
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They currently have a presence in the south near the Damascus district of Al-Hajar al-Aswad.
Abdel Majid said Palestinian groups control 40 percent of the camp, in its north, and that some 20 percent makes up the front line.
He said Syrian regime aircraft have bombarded Al-Hajar al-Aswad, which is jihadist-held.
A security source in Damascus said only that in Yarmuk the fighting "stops and then starts again".
Chris Gunness, the spokesman for UNRWA, the United Nations refugee agency for Palestinians, expressed alarm at the reports of fighting.
"UNRWA calls for an end to all actions and hostilities that endanger the security and lives of Palestinian and Syrian civilians in Yarmuk, who endure -- and continue to suffer -- extreme humanitarian conditions," he said.
Before the Syria conflict erupted in 2011, Yarmuk was home to 160,000 people, both Palestinian and Syrian.
UNRWA says that just 18,000 still live there.
"There must be active compliance with the obligation to respect and protect civilians in Yarmuk, including by allowing unhindered humanitarian access," Gunness said.
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