Kentucky Route 61 joins US 68 on Main Street through Greensburg; KY 61 leads northwest 40 miles (64 km) to Elizabethtown and southeast 19 miles (31 km) to Columbia.

[5] The climate in this area is characterized by hot, humid summers and generally mild to cool winters.

[8] The 1780 settlement was originally known as "Glover's Station", for local landowner John Glover, who received 193 acres (0.78 km2) in the area as a military grant after the American Revolution.

[11] Following the establishment of Green County (named for Revolutionary War Maj. General Nathanael Greene[11]) from parts of Lincoln and Nelson counties in 1792, Greensburg was laid out and established two years later as its eponymous seat of government.

[14] The first known school in Greensburg, called Greenburg Academy, was open from 1815 to 1818.

37.1% of all households were made up of individuals, and 21.3% had someone living alone who was 65 years of age or older.

[19] Greensburg holds an annual festival called Cow Days [20]