A list of 20 organizations banned by Israel was released by the Strategic Affairs Ministry on Sunday.
The Jewish Voice for Peace, one of two American organizations listed, shared a statement condemning the ban as an attempt to "punish us for a principled political stance".
The prominent British campaign group War on Want has been listed as one of 20 foreign NGOs whose representatives are banned from visiting Israel over their support of the pro-Palestinian boycott, sanctions and divestment (BDS) movement.
The BDS campaign encourages people to boycott Israel, urges universities and other organizations to divest from the country, and calls for worldwide sanctions until Tel Aviv complies with global law with respect to Palestinians and withdraws from Palestinian land.
"The boycott organisations must know that the state of Israel will act against them", Erdan said in a statement.
"It is a desperate attempt to silence a growing movement that is holding Israel accountable for its systematic abuse of Palestinian rights and persistent violations of worldwide law", Rehman said.
"Forming the list is another step in our struggle against the incitement and lies of the boycott organizations, and no state would allow visitors who come to harm the state to enter it, and certainly with the goal of destroying Israel as a Jewish state", he said.
"Support for the BDS movement has been growing around the globe in recent years, as more and more people recognize the brutal reality of Israel's apartheid regime and almost 50-year-old military occupation of Palestinian lands", committee head Mahmoud Nawajaa said in a statement. They were chosen because they are the main ones who "operate consistently and continuously" against Israel, according to Erdan's office.
"Despite the fact that my grandparents are buried there, that my aging in-laws still live there, and my extensive ties of friendship and family, my support for the BDS movement for Palestinian rights now excludes me from Israel", she said.
American Friends Service Committee, a Quaker group on the list, said it would continue to work for "peace and justice".
"We answered the call for divestment from apartheid South Africa and we have done the same with the call for Boycott, Divestment, and Sanctions from Palestinians who have faced decades of human rights violations", said Kerri Kennedy, AFSC's associate general-secretary for worldwide programmes. The group, together with a British Quaker organization, won a Nobel Peace Prize in 1947 for assisting World War II refugees.
The blacklist names groups from the U.S., Europe, Chile and South Africa.
Rebecca Vilkomerson, the executive director of Jewish Voice for Peace, criticised the publication of the list, saying it was "disconcerting but not surprising given the further erosion of democratic norms and rising anxiety about the power of BDS as a tool to demand freedom".
Israel's move elicited a variety of responses from the targeted groups, with some expressing disappointment and condemnation, and others hailing it as a "clear victory" for the BDS movement.