In 1972, Orr was elected the third mayor of Miami-Dade County, Florida. Orr died of cancer in 1974 and was succeeded by Stephen P. Clark.[3] Orr is the namesake of the Jack Orr Plaza in front of the Main Library and the Jack Orr Plaza Apartments, a public housing complex.[4]
Orr's paternal uncle, Alexander Orr Jr was the 20th Mayor of the City of Miami.