Born in Liberty County, he attended private schools and graduated from the College of New Jersey (now Princeton University) in 1820.

He studied law, was admitted to the bar in 1822 and commenced practice in Clinton, a community in Jones County, Georgia.

He was judge of the State superior court from 1835 to 1837, a member of the Georgia Senate in 1843–1844, and a presidential elector on the Democratic ticket in 1844.

[1] Iverson left the Senate shortly after Georgia passed an ordinance of secession from the United States and after making a defiant farewell speech, stating that Southerners would never return to the Union "short of a full and explicit recognition of the guarantee of the safety of their institution of domestic slavery.

"[2][3] After leaving the Senate, he resumed the practice of law in Columbus until 1868, when he purchased a plantation in East Macon and engaged in agricultural pursuits until his death there in 1873; interment was in Linwood Cemetery.