What is the position of children born from Mut’ah? There is no difference between the children of Nikah or Mut’ah. Both are considered legitimate under the Shari’ah – they inherit from their parents, and all Islamic laws apply with regards to paternity.

source: http://www.shiapen.com/comprehensive/mutah/what-is-mutah-2.html here is the link

What is the position of children born from Mut’ah? There is no difference between the children of Nikah or Mut’ah. Both are considered legitimate under the Shari’ah – they inherit from their parents, and all Islamic laws apply with regards to paternity.

Source: www.shiapen.com