A couple of weeks ago womens rights organizations got together and petitioned the election board of the Knesset to have the haredi political parties disqualified due to their not having any female candidates listed on the party lists for Knesset. At the time, the election board said the issue would only be dealt with after the deadline for submitting party lists will have passed.

The deadline passed already over a week ago, and tomorrow the election board is set to discuss all the requests for disqualifications.

A few days ago, the organizations officially submitted their petition to have the haredi parties disqualified. They base it on the fact that their are no female representatives, but also because the regulations of both SHAS and UTJ parties state that women will not be allowed to run as representatives of their parties for Knesset. Due to clear discrimination against women, they should be disqualified according to the petition.
(source: Kikar)

A member of the groups that filed the petition wrote an op-ed on the Times of Israel explaining their action. Among all the discussion of lawlessness, equality and all that, I find the following paragraph, the concluding paragraph, the most interesting:

Let’s hope that the members of the committee, all party representatives, will understand that it will be better for all of us if we start at the very beginning by rooting out such bias from the core of our political system. I have no doubt that Haredi women, who tend to receive a far wider and better education than their counterparts in the sex-segregated Haredi school system, will do at least as well as the men who have been shutting them out.  Their very presence in the Knesset will be a welcome change and a bright sign for the future.

Again, I do not expect the election board to disqualify the haredi parties over this, but I guess we'll see what happens tomorrow..

In the meantime, the haredi parties have responded to defend themselves against the petition. In their joint response they say that:
"the haredi parties operate, as per the halacha, with separation between men and women, for reasons of tzniyut. Men have one role, and the women have a different role. The division of labor has nothing to do with the removal of women, discrimination against women, or any claim that women are valued any less than men. In a democratic country a party that wants to operate according to halacha cannot run for Knesset? That itself makes the petition itself anti-democracy in the clearest way!
They add that they do not oppose women being chosen for the Knesset, just not via their parties. "Being that these responding parties operate according to the 4 cubits of halacha, their representatives for the Knesset can only be men. If this approach is not acceptable to some people, they do not have to vote for these parties."
They even added that "haredi women would not vote for them specifically if women were on the party lists, because it is against halacha. In order to satisfy the desires of the petitioners, is it right to take away the rights of these women from voting for haredi parties that act according to halacha?"
(source: Ynet)

I don't know which halacha prevents women from being on the Knesset lists of these (or any) parties. The choices are:

1. kol kvoda bat melech pnima: If it is the one that talks about women being in the home or the glory of a woman is being inside or internal (kol kvoda bat melech pnima), then women should not be allowed to leave their house for work - whether it is teaching or computer programming or architecture or anything else. The Knesset should be no different. If women are allowed out to work, they can also work in the Knesset.
2. problem of having a party mixed with men and women.. meetings, talking between the sexes, meetings, yichud, etc: If it is issues of yichud or tzniyus, those are all solvable. They cannot be any worse than the situation created of haredi male MKs sitting in meetings with secular women from other parties, sitting and talking to them, talking to female reporters, etc. If the problem is a mixed list of men and women, perhaps the solution would be to have only women listed on the party list and let the men go back to yeshiva, though then it would be a problem of male discrimination.