Allaah has prohibited the marriage of mut`ah because the intent behind marriage is the (building of mutual) affection and permanance (of relationship) and the building of a (stable) home and family as He (Ta`aala) says:

{And among His Signs is that He created for you wives from among yourselves, that you may find repose in them, and He has put between you affection and mercy}, [Soorah ar-Room, Aayah 21]

And because the marriage of mut`ah can lead to the ruin of children who are the product of intercourse in this (type of) marriage, and it can also lead to much mischief and corruption amongst the ummah; Because of this, Allaah (`Azza wa Jall) has prohibited it. And it is authenticated on the authority of the Prophet (saw) that he said:

((Indeed it (marriage of mut`ah) is prohibited right through to the Day of Judgement)), [Transmitted by Muslim, ref.1406]

And this indicates that it is not possible for this prohibition ever to be abrogated because if (we were to entertain that) it was possible to abrogate it, then (we must also entertain that) it is possible the Messenger of Allaah is a liar, and this notion is impossible.

Shaykh Al-Uthaymeen

I`laam al-Mu`aasireen bi-Fataawa Ibn `Uthaymeen - Page 170