Israeli settlers attacked his village, injuring two of his brothers and one cousin, Adra told The Associated Press.
He accompanied them to the hospital.
While there, he said that he heard from family in the village that nine Israeli soldiers had stormed his home.
The soldiers asked his wife, Suha, for his whereabouts and went through her phone, he said, while his nine-month-old daughter was home.
They also briefly detained one of his uncles, he said.
As of Saturday night, Adra said he had no way of returning home to check on his family, because soldiers were blocking the entrance to the village and he was scared of being detained.
Adra has spent his career as a journalist and filmmaker chronicling settler violence in Masafer Yatta, the southern reaches of the West Bank where he was born.
After settlers attacked his co-director, Hamdan Ballal, in March, he told the AP that he felt they were being targeted more intensely since winning the Oscar.
He described Saturday's events as "horrific".
"Even if you are just filming the settlers, the army comes and chases you, searches your house," he said.
"The whole system is built to attack us, to terrify us, to make us very scared."
Yuval Abraham, No Other Land co-director, expressed fears for Adra's plight.
"I'm very afraid for Basel right now," said Abraham.
Israel's military said that soldiers were in the village after Palestinians had thrown rocks, injuring two Israeli civilians.
It said its forces were still in the village, searching the area and questioning people.
The Red Crescent confirmed in a statement that they had treated three Palestinians, who were wounded during the settler attack.
Two of them were transferred to a hospital.
No Other Land, which won an Oscar this year for best documentary, depicts the struggle by residents of the Masafer Yatta area to stop the Israeli military from demolishing their villages.
The film has won a string of international awards, starting at the Berlin International Film Festival in 2024.
It has also drawn ire in Israel and abroad - Miami Beach proposed ending the lease of a movie theatre that screened the documentary.
Ballal and Adra made the joint Palestinian-Israeli production with Israeli directors Abraham and Rachel Szor.
On July 28, activist and collaborator in the film Odeh Hadalin was shot and killed by a settler in Masafer Yatta in one of these attacks.
The settler, Yinon Levi, had been sanctioned by the EU and the US in 2024 for repeatedly carrying out violent attacks against Palestinians.
Since the start of the military offensive against Gaza in October 2023, violent settler attacks in the occupied West Bank have skyrocketed, including in Masafer Yatta, the cluster of Palestinian villages featured in No Other Land.
Filmed between 2019 and 2023, the documentary shows the Israeli army demolishing homes, schools, water wells, and roads, and forcibly expelling Palestinians.
Israel captured the West Bank in the 1967 Mideast war, along with the Gaza Strip and east Jerusalem.
The Palestinians want all three for their future state and view settlement growth as a major obstacle to a two-state solution.
Israel has built well over 100 settlements, home to more than 500,000 settlers who have Israeli citizenship.
The three million Palestinians in the West Bank live under seemingly open-ended Israeli military rule, with the Western-backed Palestinian Authority administering population centres.
With AP
15°C