The Bernalillo County Sheriff's Office announced the arrests Friday of 42-year-old Fredrick Gonzales and 36-year-old Carey Gonzales.
They say the arrests came after a four-month investigation.
Sheriff's officials say Fredrick Gonzales presides over the Young America Football League for the Albuquerque District and his wife Carey works as a teacher's assistant at Montezuma Elementary School.
Authorities say a search of the couple's home produced several computers and digital media that contained child porn images.
They say the couple allegedly has admitted to viewing the images.
Sheriff's officials say the digital evidence is being sent to a regional computer forensics lab for processing. The children in the images haven't been identified yet.