Jon Venables served eight years in prison for the torture and murder of the toddler in the northwest English city of Liverpool, before being released with a new identity in 2001.
He pleaded guilty on Wednesday to four counts at a hearing at England's Old Bailey central criminal court in London.
Venables admitted to having 392 category A images -- the most extreme -- 148 category B and 630 category C images, and to having a "paedophile manual".
Bulger's father Ralph and mother Denise Fergus were in court to hear the guilty plea.
Bulger's mother Denise Fergus earlier said that the latest crimes proved "beyond any doubt what a vile, perverted psychopath he has always been."
In a case that shocked the country, Venables and his friend Robert Thompson, who was also 10 years old at the time, abducted Bulger from a shopping centre.
The little boy's mutilated body was found two days later on a nearby railway line.
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