Their bail expired on Monday and their lawyers sought more time for their surrender citing family circumstances.
Sanjay was convicted on November 28 last year under Arms Act for possessing an AK-56 rifle and 9mm Chinese make pistol, obtained from co-accused Abu Salem prior to the blasts.
The special TADA court asked him to pay Rs 1 lakh as fine. He was given a suspended sentence of one year, in view of his advanced age and good behaviour.
Besides actor Sanjay Dutt, four other convicts in the 1993 bomb blast case on Thursday surrendered before a designated TADA court which took them into custody to serve their remaining sentence.