He told her a lie about his parents and she is asking him for khula‘
Question

                If a man tells a lie to his wife, is that a valid reason for her to ask for khula‘? I lied to my wife before we got married by telling her that my parents were dead, when that was not the case.
Praise be to Allah.
      There is no doubt that lying is one of the vilest of 
      attributes and it is the key to all evil and is a weak foundation for the 
      one who wants to build a household and establish a Muslim family. 

    It was narrated that ‘Abd-Allah ibn Mas‘ood (may Allah be 
    pleased with him) said: The Messenger of Allah (blessings and peace of Allah 
    be upon him) said: “I enjoin you to be truthful, for truthfulness leads to 
    righteousness and righteousness leads to Paradise. A man may continue to 
    tell the truth and endeavour to be truthful until he is recorded with Allaah 
    as a speaker of truth. And beware of lying, for lying leads to wickedness 
    and wickedness leads to Hell. A man may continue to tell lies and endeavour 
    to tell lies, until he is recorded with Allaah as a liar.” Narrated by 
    al-Bukhaari (6094) and Muslim (2607). 

    But that mistake that the husband made on its own is not a 
    justification or sufficient reason for the woman to try to break up her 
    family by seeking divorce (talaaq) or khula‘, if there is no convincing 
    legitimate shar‘i, rational, health or social reason for that, so long as 
    the wife cannot see any fault in her husband's attitude or religious 
    commitment or his treatment of her. There may have been a reason why he 
    committed this error. What he should do now is admit his mistake and admit 
    that his deed was serious and wrong. 

    If he sets things straight with his wife and is good in his 
    religious commitment and his treatment of her, then the wife should not take 
    that as an excuse to break up her family, especially as she has nothing to 
    gain from his parents being dead and will not be harmed if they are alive. 
    All there is to be said is that she does not have to live with them or live 
    in their house, and the matter is settled. 

    According to the hadeeth of Thawbaan (may Allah be pleased 
    with him), the Prophet (blessings and peace of Allah be upon him) said: “Any 
    woman who asks her husband for a divorce when there is no problem, the 
    fragrance of Paradise will be forbidden to her.” Narrated by al-Tirmidhi, 
    no. 1187; he said: This is a hasan hadeeth. 

    Al-Mannaawi (may Allah have mercy on him) said:

    Ba’s (translated above as problem) means hardship, i.e., when 
    there is no case of hardship which would prompt her to separate from him, 
    such as if she is afraid that she cannot adhere to the sacred limits of 
    Allah with regard to what is enjoined upon her of good companionship and 
    kind treatment because she dislikes him, or if he is harming her in such a 
    way that she should seek separation from him by khula‘.

    “will be forbidden to her” means that the fragrance of 
    Paradise will be denied to her. End quote. 

    Fayd al-Qadeer, 3/178 

    What problem has befallen this woman, i.e., what hardship has 
    befallen her if her husband's parents are still alive?! 

    Rather, even if she stipulated that he should not have two 
    parents, and it became clear that they are alive, then she still has no 
    right to annul her marriage because of this strange condition! 

    Al-Bahooti (may Allah have mercy upon him) said: 

    If a woman stipulates a condition other than those mentioned, 
    namely his being free (not a slave) and being of good lineage, and 
    stipulates a condition that is not regarded as part of compatibility, such 
    as being handsome and so on, and it becomes apparent that he is less than 
    that, she has no option because of what was stated above

    [i.e., what was stated above was that this is not regarded as 
    affecting the validity of the marriage, such as if she stipulated that he 
    should be a faqeeh and it became apparent that he was not.] 

    Kashshaaf al-Qinaa‘, 5/102 

    Our advice to the wife -- first of all -- is that she should 
    think long and hard before asking for khula‘, and give her husband who lied 
    to her another chance. Even if he has committed some transgression or fallen 
    short, she should be tolerant and forgiving, for Allah loves those who 
    pardon other people, and if the pardon is between spouses, then it brings a 
    great reward and is of a higher virtue. 

    Secondly, our advice to the husband is that he should repent 
    to Allah from the sin of lying, for it is one of the greatest and worst of 
    sins for a believer, and the wife’s defiance may be part of the punishment 
    for this abhorrent sin. Every Muslim should know that if you think lying 
    could save a person from a situation, telling the truth is the better way to 
    save oneself. 

    And Allah knows best.