43 CFR § 4300.80
How can I get a permit to cross reindeer over public lands?
June 11, 2020
(a) BLM may issue a crossing permit free of charge when you file an application with BLM at least 30 days before the crossing is to begin. Lands crossed may include lands under a grazing permit.
(b) The application does not have to be on a BLM-approved form nor in a particular format, but it must show:
(1) The number of reindeer to be driven;
(2) The start date;
(3) The approximate period of time required for the crossing; and
(4) The land to be crossed.
(c) You must comply with applicable State and Federal laws on livestock quarantine and sanitation when crossing reindeer on public land.