AS @Ahmad said the marriage contract is valid if the bride was in mensus as far as any other shari'a rules about marriage (wali, witnesses, agreement, mahr etc.) were fulfilled. But the consummation of nikah (by intercourse) is only permissible when the menstruation ended and the bride/wife did the ghusl!
Nevertheless Some scholars consider it makrooh for a bride in her menses to attend the "marriage party".
There we have a consensus between shi'a and sunni scholars.
Menstruation only play a role in divorce and heritage matters, as it could be that the women was pregnant (therefore they must wait for the mensus to come) etc. ...
a) shi'a point of view see Q6) here
b) sunni point of view see this fatwa