Can a woman who is citizen of the US marry man from Algeria here on visa?

Yes, a woman who is a citizen of the United States can marry a man from Algeria who is here on a visa. However, there are some requirements that must be met in order for the marriage to be valid.

First, the man from Algeria must have a valid visa that allows him to stay in the United States. This could be a tourist visa, a student visa, or a work visa. If the man's visa is expired or has been revoked, he will not be able to get married in the United States.

Second, the woman must be a citizen of the United States. If the woman is not a citizen, she will not be able to sponsor her husband for a green card.

Third, the marriage must be legal in both the United States and Algeria. This means that the marriage must meet the requirements of both countries' laws. For example, in the United States, the marriage must be performed by a licensed officiant and both parties must be of legal age. In Algeria, the marriage must be performed according to Islamic law.

If all of these requirements are met, then the woman and the man can get married in the United States. The marriage will be valid in both the United States and Algeria.

After the marriage, the man from Algeria will need to apply for a green card. The woman can sponsor her husband for a green card if she is a citizen of the United States. The green card will allow the man to stay in the United States permanently.