He was elected to the U.S. House in the 1946 Republican landslide when he ousted Democratic incumbent Rep. George Outland.
Born in Fresno, California, Bramblett graduated from Stanford University in 1925 with a Bachelor of Arts degree in education, and later attended several other colleges for post-graduate work.
In February 1954, Bramblett was convicted of several charges related to payroll fraud with his Congressional staff; he paid salaries to four individuals who did no work for him.
After his conviction, Bramblett became a government affairs consultant in southern California, and was a resident of Woodland Hills.
He died in Woodland Hills on December 27, 1966, and was buried at Oakwood Memorial Park Cemetery in Chatsworth.