interesting topic, a little research would help, in conclusion, muslim woman can't marry to non-muslim man; muslim man can marry with non-muslim woman.
http://www.jannah.org/sisters/intermarriage.html
MUSLIM WOMAN AND NON-MUSLIM MAN:
..... And give not (your daughters) in marriage to
Al-Mushrikun** till they
believe in Allah alone and verily a believing slave is better
than a (free) Mushrik, even though he pleases you....[2:221] **
Al-Mushrikun=>Pagans, idolators, polytheist and disbelievers in
the Oneness of Allah and in His messanger Prophet Muhammad SAW)
- [[6]]
Islam considers the husband head-of-the-family and therefore
requires that a
Muslima cannot marry a non-Muslim because she
will be under the authority of a non-muslim husband. He may
prevent her from carrying out her religious obligations by
either pressuring her or physically abusing her. But it is not
the sole reason for imposing the restriction. The situation is
considered very damaging for the woman to practise Islam
afterwards and even worse for the kids in such marriages. There
are NO conditions mentioned under which a Muslim woman IS
allowed to get married or remain married to a non-Muslim husband
after she has accepted Islam. Therefore, even if she has freedom
to practise Islam after marriage, she is NOT allowed to enter
into an inter-faith marriage.
MUSLIM MAN AND NON-MUSLIM WOMAN:
MARRIAGE WITH CHRISTIANS AND JEWS:
The marriages between Muslim
men and CERTAIN non-Muslim women is allowed. However, certain
restricitions exist on such marriages, especially if they occur
in non-Muslim lands where Islamic law and religion is not
prevailing.