The First Latin fraternity is Lambda Theta Phi Fraternidad Latina,  Inc.,  (Lambda Theta Phi Latin Fraternity Inc.). On December 1, 1975,  Lambda  Theta Phi was founded on the campus of Kean College in Union,  New  Jersey. The First Latin Fraternity founded in the United States.
 In 1975, there were no Latino fraternities in existence in the United   States. The Greek-letter organizations of the time primarily catered to   Anglo and African-American students and graduates. Lambda's founders,  as  men of vision, realized there was a need to unite the Latino  students,  develop their leadership skills, impart upon them the value  of an  education, and instill in them a commitment to their community  and  culture. The traditional student club would not suffice to  accomplish  such lofty goals. Hence, Latino unity and brotherhood would  be achieved  through a long recognized institution - the fraternity.  This newest  addition to the Greek system would be the first in the  nation, by  identity and by name: Lambda Theta Phi Latin Fraternity,  Incorporated. 
 Although there is another organization that claims to be the "oldest   latino fraternity" Phi Iota Alpha. This organization claims to have been   established in 1931. No actual documentation has been provided or   presented by Phi Iota Alpha Fraternity Inc. other than the national   website and wikipedia references to have factual evidence of the   fraternity's establishment and latin origins in the original   constitution. In 1984, a group of determined young men at RPI, upon   learning about the Latino empowerment and culture that once existed on   their campus, took the challenge of reviving the spirit of Phi Iota   Alpha. In doing so, these courageous young men became the new generation   of Phi Iota Alpha Latino Fraternity, Inc. Briefly after the   re-emergence of the Fraternity, in an extraordinary session, the last   Secretary General instituted the members of the RPI chapter as the Alpha   Chapter. This is the first ever reference to Phi Iota Alpha as a  Latino  fraternity. 
 References: 
 
http://www.lambda1975.org/InsideLambda/OurHistory.aspx 
 http://www.phiota.net/roots/history
         
                                                                                                                                          