Your tree, which may be a juniper or cedar, is infected with a rust disease, probably cedar-apple rust judging from the size of the galls. The interesting thing about this disease is that it requires two hosts to complete its life cycle, the cedar/juniper and an alternate host such as apple, crabapple, quince, or hawthorn. The alternate host may be up to 1,000 feet away. Spores from these orange galls are released during wet weather and blown to the broadleaf host where infection of the leaves occurs. Spores from these infected leaves are then blown back to the juniper in late summer. The fungi spend the winter on the juniper.
Treatment: Galls may be physically removed from the juniper to reduce the number of spores available. The broadleaf host may be sprayed with a fungicide to protect emerging leaves.