What is Puerto Rico's current political status?
Puerto Rico is currently an unincorporated territory of the United States as allowed for under the territorial clause of the Constitution of the United States. Puerto Rico holds the status of Free Associated Commonweath of the United States of America.
On November 6, 2012 a Plebiscite was held where the electorate of Puerto Rico choose to whether to remain as they are ("Status Quo") or to seek another political status. Puerto Ricans that chose to seek another status were then given three choices: Independence, Statehood, or Free Association similar to that of The Marshall Islands and other former US Territories in the Pacific. The electorate chose to seek another political status and statehood was by far the most popular of the three choices given.
This plebiscite is a non-binding referendum therefore it is now up to the Puerto Rican legislature and governor to pursue any action. Nothing is really likely to change in the foreseeable future.