The network also reportedly canceled the reality show "Airline," sources told Thursday's Hollywood Reporter.
"Dog the Bounty Hunter" is the network's highest-rated series in all key demographics, The Reporter said. Its third season is already in production.
"We are thrilled to be moving forward in our relationship with these shows," A&E General Manager Bob DeBitetto said of the renewals. "They've all contributed to a great year at A&E."
2014: The Year in Music [PHOTOS]