Two of its three levels are open to the public with a café and galleries.
The building's striking sculpted roof was inspired by the natural flow of forces within a folding plate structure.
The assembly building was designed to be an open and inviting public space, as well as providing accommodation and secure private areas for members of the new assembly, or Sennedd.
The assembly building also exemplifies sustainable design, incorporating durable finishes that will last throughout its 120-year design life.