The Israelis say they have been inspired by the example of Ilana Hammerman, a writer who is threatened with prosecution after publishing an article in which she admitted breaking the law to bring three Palestinian teenagers into Israel for a day out.
Ms Hammerman said she wanted to give the young women, who had never left the West Bank, "some fun" and a chance to see the Mediterranean for the first time.
Her story has shocked many Israelis and led to a police investigation after right-wing groups called for her to be tried for security offences.
But Israelis joining the campaign say they will not be put off by threats of imprisonment.
Last month, a group of 11 Israeli women joined Ms Hammerman in repeating her act of civil disobedience, driving a dozen Palestinian women and four children, including a baby, through a checkpoint into Israel.
The Israeli women say they are planning mass "smugglings" of Palestinians into Israel over the coming weeks.
"The Palestinians who join us are mainly looking to have a good time after years of confinement under the occupation, but for us what is most important is our act of defiance," said Ofra Lyth, who helped establish an online forum of supporters after attending a speech by Ms Hammerman.
"We want to overturn this immoral law that gives rights to Jews to move freely around while keeping Palestinians imprisoned in their towns and villages," she said, referring to regulations that bar most Palestinians in the occupied territories from entering Israel, and Israelis from assisting them. Exceptions are made for Palestinians with permits, sometimes issued for a medical emergency or to some labourers with security clearance.
For the Palestinian women, though, it is not about making a statement or defying an unjust law, said Ms Lyth.
"The Palestinian women tell us: "Go ahead and make your political point, but for us we're breaking the law so that we can enjoy ourselves and remember how life was before the checkpoints and the wall.' One woman told me: "I just want to be able to breathe again'."
For Palestinians in the West Bank, it is not often easy to breathe. The territory is home to a growing population of 300,000 Jews in more than 100 settlements. The settlers are able to drive into Israel on roads that the army oversees with checkpoints.
It was through one such settler crossing, near Beitar Ilit, south of Jerusalem, that Ms Hammerman took the three Palestinian teenagers this year.
For their protection, she has not identifed the young women or the West Bank village where they live. She refers to the women as Aya, Lin and Yasmin. They, too, could face jail for breaking the law.
In Ms Hammerman's article, published in the Haaretz newspaper in May, she admitted that she was aware her actions were illegal.
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