Irish Nobel peace prize laureate Mairead Maguire was among the activists.
Earlier this week, the Israeli Navy intercepted the Women's Boat.
The former head of the Maritime Section of the UK Foreign and Commonwealth Office, Craig Murray, told Russian state-owned media that the intercept was an "act of aggression", as the Dutch-flagged yacht was effectively an extension of Dutch territory when in global waters.
The Israeli government has said on previous occasions that its maritime, land and sea blockade of Gaza was aimed at preventing Hamas from getting weapons and supplies which could be used for military purposes. It was nowhere near Israeli waters and had no intention of entering there. Israel targeted a series of Hamas posts in Gaza in response.
The so-called "Women's Boat to Gaza" had sailed from Barcelona in Spain on September 14.
Marama Davidson's father Rawiri Paratene admits he was concerned for his daughter's safety, but says he supports her and the women aboard the Zaytouna-Olivia in protest against the Gaza strip blockade.
The IDF had declared that it would not allow the ship to dock or proceed past its naval blockade, and in interviews prior to its departure, the activists on the Zeitouna said that they had no plans to resist boarding if Israeli forces made a decision to do so.
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There have been several attempts by foreign activists to breach Israel's nine-year blockade since the Mavi Marmara, a Turkish aid ship, was attacked by Israeli commandos in 2010, resulting in the deaths of 10 Turkish activists.
Illegally interdicted in global waters, an act of high-seas piracy, Israel kidnapped 13 courageous women aboard the Zaytouna-Oliva, their symbolic attempt to break its lawless Gaza siege sabotaged.
"They are unharmed and are being escorted by the IDF (Israel Defence Forces) to Ashdod", she said.
The Zaytouna-Oliva is part of the Women's Boat to Gaza mission - one member of a coalition of pro-Palestinian groups mostly based in Europe.
United Nations officials have called for the blockade to be lifted.
Israel today also bombed a number of sites in the Gaza Strip after claiming a rocket had hit a street of Sderot across the border.
"Women around the world bear a disproportionate burden in caring for people and keeping communities together in times of hardship, and the women of Palestine are no different".