Nikah Misyar is a Muslim

Muslim

A Muslim, also spelled Moslem, is an adherent of Islam, a monotheistic, Abrahamic religion based on the Quran, which Muslims consider the verbatim word of God as revealed to prophet Muhammad. "Muslim" is the Arabic term for "submitter" .Muslims believe that God is one and incomparable...

 Nikah

Nikah

Marriage in Islam is an Islamic prenuptial contract between a man and woman to live as husband and wife. It is a formal, binding contract considered integral to a religiously valid Islamic marriage, and outlines the rights and responsibilities of the groom and bride involved in marriage proceedings...

 (marriage) carried out via the normal contractual procedure, with the specificity that the husband and wife give up several rights by their own free will, such as living together, equal division of nights between wives in cases of polygamy

Polygamy

Polygamy is a marriage which includes more than two partners...

, the wife's rights to housing, and maintenance money ("nafaqa"), and the husband's right of homekeeping, and access etc.

Essentially the couple continue to live separately from each other, as before their contract, and see each other to fulfil their needs in a permissible (halaal) manner when they please.

Sheikh Ahmed al-Kubaissi from the United Arab Emirates thinks there is no formal problem with 'misyar' marriage.