[3] The group was established in 1998,[4][5] and it describes its mission as advancing the status and rights of Jewish women in the areas of religious law, leadership, and community life.

[9] According to researchers, the social dynamic underlying the foundation and continued activities and support for organizations like Kolech is the tension experienced by women who practice Orthodox Judaism and are also educated and are drawn to feminism.

The tension arises when these individuals want to continue to maintain uncompromising loyalty to their faith, families, and communities, however, at the same time, they want to modify the Jewish religious system to allow a new, egalitarian approach to emerge.

[14] In 2016, Kolech launched an initiative called "Shabbat Dorshot Tov" which promoted women speakers and scholars in residence in dozens of synagogues across Israel.

[15] In 2010, Kolech and other modern Orthodox organization campaigned to prevent the dismissal of a director of rabbinic courts by a committee with a majority of members from ultra-Orthodox backgrounds.

[23] According attorney Yael Rockman, then Executive Director of Kolech, part of the argument against the radio station was that it was not a sole private entity but was receiving funds from the Israeli government.

In 2018, the district court in Jerusalem ruled in favor of Kolech and issued a NIS 1 million fine (roughly $280,000) for the radio station to pay or risk losing its broadcast license.