Abhishek's father Amitabh Bachchan on his blog Sunday said that the couple was taking a flight to New York.
A source close to the couple told from Mumbai: "The two have gone to an undisclosed destination and will be back in time for the music release of 'Raavan' on April 24."
Abhishek too posted on his Twitter page: "...It's Houdini time again. Have managed to abduct the wife. See you all soon."
According to another source, the duo have been planning this holiday so that they could spend some time together after keeping busy with their respective shooting schedules.
Last year, the actors took out time for a week-long vacation while they were shooting for Mani Ratnam's "Raavan", which is among their most awaited films this year.
On their first anniversary, Abhishek was busy shooting in Miami for "Dostana", but wife Aishwarya joined him there.
The couple got married in 2007 in a grand wedding ceremony at Bachchan's residence Prateeksha in Mumbai.