The New York-based organisation - fronted by British architect Cameron Sinclair - has set itself a target of raising £100,000.
Sinclair said that the cash will be used to build new homes and community centres in the areas most badly hit by the tidal wave.
The charity is also calling on architects, engineers and other design professionals to offer their skills on a pro bono basis to the appeal.
'Raising $100,000, when coupled with pro-bono design services and material donations, will allow for the building of more than just basic shelter, but the construction of schools, infrastructure and medical clinics,' Sinclair said.
'With a more holistic and sustainable approach of reconstruction, a truly world-changing idea, the funds will help to build beyond simple dwellings to live but create real communities for life to grow, rebuild and renew,' he added.
For further details of the appeal and how to contribute, visit www.architectureforhumanity.org.