This is due to a request from the Colorado Attorney General John Suthers that the Supreme Court of Colorado has taken this decision but it only applies to Denver and Adams County.
The court also refused the request of five other counties to be able to issue marriage licenses to same-sex couples.
Denver Clerk Debra Johnson said she was disappointed by the decision of the court.
"There are some things we do for ourselves, but there are things, especially as an elected official, that must be done for others," Johnson said in a statement. "One day, I hope every Coloradan will experience marriage fully, equally and without prejudice."