Robert Gunn Bremner (December 17, 1874 – February 5, 1914) was an American newspaper publisher and Democratic Party politician who represented New Jersey's 7th congressional district in the United States House of Representatives from 1913 to 1914.

He served with the Second Regiment of New Jersey Volunteer Infantry during the Spanish–American War.

Bremner was elected as a Democrat to the Sixty-third Congress, serving from March 4, 1913 until his death.

In December, 1913 Bremner checked into a hospital in Baltimore, Maryland to be treated for cancer of the neck and shoulder.

He was interred at Laurel Grove Memorial Park in Totowa, New Jersey.