Japanese forces launched a surprise attack on the base in 1941, killing 2,300 US servicemen and propelling the US into World War Two.
Mr Abe will visit on 27 December with US President Barack Obama.
The announcement, two days before the 75th anniversary of the attack, follows a visit by Mr Obama to Hiroshima.
He became the first US president to visit the Japanese city, where about 150,000 people are believed to have been killed in 1945 by a US atomic bomb.