Will Allah (swt) punish me if I am married to a man who doesn’t pray 5 times a day?
I love my husband very much and it was my choice to marry him. He keeps on saying he will pray when it will be the right time for it. Simply delaying his prayers
According to the extra information in comments above, he believes in Islam and knows that praying is a must, but commit sin by not praying ... This way he is not a Kafir, so that the marriage is not a sin and you will not be punished for marrying with him ... But then he is commiting a sin and it will be your duty to enjoin what is right and forbid what is wrong, and if you refuse to do that you will be a sinner too.
However, sometimes, things are not that much simple, e.g. when the sin that is commited if Zina, Allah says "Let no man guilty of adultery or fornication marry and but a woman similarly guilty, or an Unbeliever: nor let any but such a man or an Unbeliever marry such a woman: to the Believers such a thing is forbidden." ... Be aware, as you may be able to change him and make him to pray, it is also possible that he will change you gradually so that you will not pray, hope not.
Such a marriage will have its own difficulties anyway, but it's up to you as what to choose. Remember that he will be the father of your children and your children will learn from him almost as much as will learn from you.
As a general rule, people are encouraged to marry those who are similar to themselves in faith, so I guess no one will encourage you for such a marriage unless you think both of you reside on one level of faith. For example, you love him so much and you know he doesn't pray, so maybe that he doesn't pray is not such a bad reputation in your viewpoint that will discourage you from this marriage. Think if he was a robber and you knew it, could you still think about marrying with him? I guess not. Anyway, you are the only person can judge yourself and your love toward him, maybe his honesty and other good reputations make you believe that if he doesn't pray, it is due to a misunderstanding of the religion and you can easily fix it for him and then he will be turned into a muslim many times better than those who pray days and nights ...
Better to consult with those who better knows you and him ...
and Allah knows best
If he says that he will start praying. If you marry with him then its better for you and also for him because for this he start praying and all the rewards are also going to her. Its good thing of you and also best for him.