This is allowed, with words of caution that it may be difficult. Also, the Catholic must be sure to keep their own faith and baptize and raise the children Catholic. See below for exact wording. (The ...'s are where I removed stuff in reference to Catholic/Non Christian marriages) From the Catechism of the Catholic Church: #1634 "Difference of confession between the spouses does not constitute an insurmountable obstacle for marriage, when they succeed in placing in common what they have received from their respective communities, and learn from each other the way in which each lives in fidelity to Christ. But the difficulties of mixed marriages must not be underestimated. They arise from the fact that the seperation of Christians has not yet been overcome. The spouses risk experiencing the tragedy of Christian disunity even in the heart of their own home...Differences about faith and the very notion of marriage, but also different religious mentalities, can become sources of tension in marriage, expecially as regards the education of children. The temptation to religious indifference can then arise." #1635 "According to the law in force in the Latin Church, a mixed marriage needs for liceity the express permission of ecclesiastical authority...This permission presupposes that both parties know and do not exclude the essential ends and properties of marriage; and furthermore that the Catholic party confirms the obligations, which have been made known to the non-Catholic party, of preserving his or her own faith and ensuring the baptism and education of the children in the Catholic Church."

Here is my experience...My husband is Catholic and I am not. We have not had any problems with out marriage over the last 20 years nor have we had any problems raising our 4 children. We were married in my church and had both my husbands priest and my pastor officiate. We were highly supported from both sides. And attending or raising our children in one church or the other was never pushed or mentioned otherwise by either side.