Expecting the wife or her guardian to provide the dowry or accommodation is a custom that is contrary to sharee‘ah
Question

                Its been a customary practice in my locality that during the time of marriage the girls parents build a house for their daughter and that both couples may live in that house.But in future if any problem occurs between husband and wife then the wife could still have her house while the male has no right to claim the house.This system was made lawful in my place to give security for females.

Now that am going to be engaged my Dad said that the fiancee's family haven't built a house yet.And dad fears that the fiancee's parents haven't come up with good security even for their daughter and he fears in future I might not get a good security from them as well.And dad said he will ask them for the house for both(me and fiancee) to live in.

I said since it is the husband who should give security to his spouse then it is not necessary for the fiancee's parents to build the house.But i also said if they build it without our own demand let us take it and i said that after reading the following verse of the quran from surah Nisa 
004.004 And give the women (on marriage) their dower as a free gift; but if they, of their own good pleasure, remit any part of it to you, Take it and enjoy it with right good cheer. 

But in my situation I fear falling into dowry.Please sheikh kindly clear this doubt.Under the circumstance i have said is it right of my father to ask the fiancee's parents to build the house for the girl so that we both can live in it?

Please reply shiekh for a long time i haven't got any reply from u. But Allah knows hw busy u are.But please take some time to clear this for me.
Praise be to Allah.
      The dowry (mahr) is a right that the wife has over her 
      husband, because Allah says (interpretation of the meaning):

    “And give to the women (whom you marry) their Mahr 
    (obligatory bridal-money given by the husband to his wife at the time of 
    marriage) with a good heart; but if they, of their own good pleasure, remit 
    any part of it to you, take it, and enjoy it without fear of any harm (as 
    Allaah has made it lawful)”

    [al-Nisa’ 4:4].

    Al-Tabari (may Allah have mercy on him) said: What Allah, may 
    He be glorified and exalted, meant by that is: Give the women their dowries 
    as a gift that is required and obligatory. 

    And he said: It was narrated that Qataadah said, concerning 
    the words “And give to the women (whom you marry) their Mahr (obligatory 
    bridal-money given by the husband to his wife at the time of marriage) with 
    a good heart”: As an obligation. And it was narrated that Ibn Jurayj 
    said concerning the words “And give to the women (whom you marry) their 
    Mahr (obligatory bridal-money given by the husband to his wife at the time 
    of marriage) with a good heart”: As an obligation that is named 
    (specified). And it was narrated that Ibn Zayd said concerning the words 
    “And give to the women (whom you marry) their Mahr (obligatory bridal-money 
    given by the husband to his wife at the time of marriage) with a good heart”: 
    al-nihlah (translated here as “with a good heart”, in the language of the 
    Arabs, refers to something that is obligatory. 

    End quote from Tafseer al-Tabari, 4/241. 

    So it is not permissible to force the wife or her guardian to 
    provide it, but if the wife takes it and then gives some of it to her 
    husband or gives some of her wealth to him, it is permissible to her to do 
    that, because Allah says (interpretation of the meaning): 
    “but if they, of their own good pleasure, remit any part of 
    it to you, take it, and enjoy it without fear of any harm (as Allaah has 
    made it lawful)”[al-Nisa’ 4:4].

     Accommodation is also a right that the wife has over her 
    husband, so he is obliged to provide her with separate accommodation 
    according to his ability; that is part of the maintenance that he is obliged 
    to provide. Allah says (interpretation of the meaning): “Lodge them 
    (divorced women) where you dwell, according to your means” [al-Talaaq 65:6]. 
    If this applies in the case of a woman who is divorced, then providing 
    accommodation for a woman who is still married is more appropriate. 
    Moreover, Allah has enjoined kind treatment between spouses, as stated 
    above. Part of the kind treatment that is enjoined is providing her with 
    accommodation in which she and her wealth will be safe. The wife cannot do 
    without accommodation in order to conceal her from people looking at her and 
    so that she can settle down with her belongings. Hence accommodation is a 
    right that she has over her husband. 

    The same may be said about accommodation as may be said about 
    the dowry: it is not permissible to force the wife or her guardian to 
    provide it. 

    Based on that, if the wife does not give accommodation, there 
    is no room for demanding it from her. You should explain that to your father 
    and not go along with the custom that is contrary to sharee‘ah. Allah has 
    made the man the protector and maintainer of the woman, and one of the 
    reasons for that is that he spends on her. Allah says (interpretation of the 
    meaning): “Men are the protectors and maintainers 
    of women, because Allaah has made one of them to excel the other, and 
    because they spend (to support them) from their means” [al-Nisa’ 4:34]. 

    See also the answer to question no.
    45527. 

    And Allah knows best.