Nebraskans for Public Safety posted the ads on social media on Monday and said they will run on television starting Tuesday.
Danielle Conrad, a spokeswoman for the group, says the death penalty is broken and should left in the past.
Nebraska last executed an inmate in 1997. Last month the Nebraska legislature voted 30-19 to override the veto of Governor Pete Ricketts and abolish the death penalty. Thus Nebraska became the 19th state to repeal the death penalty, and the 7th state to do so since 2007.
The group Nebraskans for the Death Penalty has until Aug. 27 to gather signatures. The ads feature Nebraska voters Martha Brown, Timorree Adams Klinger along with Sen. Colby Coash who led the repeal effoert.
The Associated Press contributed to this report.