This picture is of the Cathedral Basilica of Saint Francis of Assisi. but is well known as Saint Francis Cathedral.
This church was built in the late 1880s. The Cathedral is in Downtown Santa Fe and is set beautifully in the surrounding area by adobe buildings.
The church is very well maintained and very beautiful inside. I was able to spend several hours taking photos (No flash allowed). You can read more about this church here http://www.cbsfa.org