In 2010s, the company was involved in a multi-year bid rigging scheme related to interior work at Bloomberg L.P. resulting in its then vice president Ronald Olson to plead guilty to federal charge of tax evasion on accepting $1.5 million in bribes from subcontractors[4] and then project superintendent Vito Nigro to plead guilty to grand larceny.

[7] Turner's first job was a $690 project to build a concrete vault for Thrift Bank in the borough of Brooklyn.

The original design showed the stairs were to be made of steel, but Turner persuaded Gair to use concrete as an alternative.

[11] His proposal was applauded and led to contracts for staircases and platforms for the Interborough Rapid Transit Company's first subway line.

Like most industries, construction suffered during the economic collapse and Turner's volume fell to $2.5 million by 1933.

For his replacement, Archie Turner selected Admiral Ben Moreell, the individual responsible for forming the Seabees.

[23] Turner, together with three other main contractors Fuller, Slattery, Walsh built the United Nations Secretariat Building in New York,[24][25] which was completed in 1952.

[29] From the early 1950s to the late 1960s, the company opened offices in Cincinnati,[30] Los Angeles,[31] Cleveland,[18] and San Francisco.

[31][34] Notable projects included the Vanderbilt University Medical Center Hospital in 1974[35] and the John Fitzgerald Kennedy Library in 1977.

In 1996, they built Charlotte, North Carolina's Bank of America Stadium, followed by completion of Sports Authority Field at Mile High in 2001.

In August 2017, Turner Construction flouted permit regulations and unlawfully closed two lanes in middle of downtown Portland, Oregon.

[43][44] In response, the city withheld inspection until the fine was paid off and the behavior prompted city transportation commissioner Dan Saltzman to issue the following statements:[45]"Amidst one of the busiest summer construction seasons in recent memory, I’m disappointed at the blatant disregard for the public,"[43] "For a private construction company to block a lane during rush hour, delaying thousands of people and undermining our efforts to reduce traffic congestion is unacceptable," Saltzman said in the statement.

Olson pleaded guilty to tax evasion for US$1.5 million he received in connection with Bloomberg jobs while he was working for Turner.