Political career
Orr first became involved in politics in 1950 as a member of a local Republican Party advisory board. In 1951 he became chairman of the local party; he served until 1954. He was a precinct committeeman for eight years, and in 1958 became treasurer for the Eight District Republican Committee, a position he held until 1960. In 1965 he was elected chairman of the Vanderburg County Republican Central Committee; he held that position for six years.
In 1968 he was elected to the Indiana Senate representing Evansville. He served there until 1973. In 1972, he was nominated at the State Republican Convention to run for Lieutenant Governor on a ticket with Otis R. Bowen. The election campaign focused largely on their opponents' records of raising taxes, and they won the election with 56.8 percent of the vote. As lieutenant governor, Orr oversaw the state agricultural bureau and was director of the Indiana Department of Commerce. Orr drew on his experience in economic development in Evansville to put in a place a statewide economic growth plan. He convinced state leaders to fund the creation of two Port of Indiana ports on the Ohio River, one at Mount Vernon and other at Jeffersonville, and he launched a successful tourist attraction campaign. Orr vote five tie-breaking votes in the Indiana Senate during his term, including one that passed Bowen's tax reorganization plan, drastically lowering property taxes, requiring local taxing authorities to receive state-level approval to raise taxes, while increasing the state sales tax. Orr and Bowen were re-elected to office in 1976.
Orr was popular statewide because of his economic plans and for being associated with the tax reorganization plan. With Bowen's backing, he ran unopposed for the Republican nomination to run for governor in 1980. In the general election, he was opposed by Democrat John Hillenbrand. Orr focused on connecting himself with the popular Governor Bowen; his slogan was "Let's Keep a Good Thing Going." He easily defeated Hillenbrand, 1,257,383 (57.7 percent) to 913,116 (41.9 percent) votes.
As governor, he oversaw the reform of the Indiana educational system. In 1984, he defeated State Senator Wayne Townsend of Hartford City to win a second term as governor: 1,146,497 (52.8 percent of the two-party vote) to 1,036,832 (47.2 percent). An ad from the 1984 campaign, which featured an actress playing a fortune teller and a singer with a Daryl Hall style mullet, was featured on an episode of CNN's Not Just Another Cable News Show. In the 1984 election, Orr polled 110,886 fewer votes than he had in 1980, and his overall percent dropped by 4.9.
In 1986, Orr served as president of the Council of State Governments and as the chairman of the Midwestern Governors Association.
After his terms as governor, Orr was named by U.S. President George H. W. Bush as the U.S. Ambassador to Singapore, a position that he held until 1992.
After he left his ambassadorship, Orr established a consulting firm called the Alliance for Global Commerce, which focused on international trade and export issues.
In 2000, he and his wife, Joanne "Josie" Wallace, divorced. In 2001, at the age of eighty-three, he married Mary Kay Davis. On March 10, 2004, Orr died at the age of eighty-six at the Indiana University Medical Center in Indianapolis from complications following kidney surgery. He is buried in Crown Hill Cemetery in Indianapolis.
The portion of Interstate 69 south of its interchange with Interstate 64, at one time labeled Interstate 164, is named the "Robert D. Orr Highway" in his honor.