The Biden family may have two Bidens running for office in 2016.

Delaware Attorney General Beau Biden, son of Vice President Joe Biden, announced today that he will not seek re-election as the attorney general and instead will pursue a run for governor in 2016.

"Over the past few months, as I've been planning to run for reelection, I have also been giving a great deal of thought to running for Governor in 2016. What started as a thought-a very persistent thought-has now become a course of action that I wish to pursue," Beau Biden wrote on his website Thursday.

"After careful consideration, I have concluded that it is not right to ask for your support in 2014, knowing that my focus would be divided between doing my job as Attorney General while at the same time running as a candidate for Governor," he wrote. "Therefore, I am announcing today that I will not seek reelection as your Attorney General this November."

Beau Biden, who served in the Delaware National Guard and is an Iraq war veteran, added, "After my term is completed, I look forward to meeting with Delawareans and continuing to discuss my plans as a candidate for Governor."

Beau Biden faced a health scare last summer after he experienced weakness and disorientation while on a family vacation. He then underwent surgery at MD Anderson Cancer Center in Houston, Texas. Beau Biden has not discussed the health issue. In 2010, Beau Biden suffered from a mild stroke.

Vice President Joe Biden has indicated he is considering a third run for the White House in 2016.