The U.S. Constitution and federal laws do apply in Puerto Rico, but with important nuances because the island is an unincorporated territory, not a state.
Fundamental constitutional rights—such as due process, equal protection, and most Bill of Rights protections—extend to Puerto Rico. Federal statutes also apply unless Congress explicitly excludes the territory.
The Supreme Court's "Insular Cases" (early 1900s) established that not all constitutional provisions automatically apply to unincorporated territories. Congress retains plenary power over Puerto Rico under the Territorial Clause.