Owners of such images would face up to three years in prison under the plans.
Under the Obscene Publications Act it is illegal to possess photos of child abuse but it is legal to own drawings and computer-generated images.
Ms Eagle said the proposed move would "help close a loophole that we believe paedophiles are using".
The plans are part of the government's response to a public consultation exercise carried out last year.
If we do not address the issues these images raise now it is likely their availability will continue to grow
Ministry of Justice
The government has acknowledged that paedophiles may be circumventing the law by using computer technology to manipulate real photographs or videos of abuse into drawings or cartoons.
A Ministry of Justice spokeswoman said the authorities had "noticed an increase in the existing availability of these images on the internet".
She said: "If we do not address the issues these images raise now it is likely their availability will continue to grow.
"They are often advertised as a legitimate depiction of child sexual abuse."
The spokeswoman said police and child welfare groups had expressed concern at the "growing increase in availability of these depictions of child sexual abuse".
Ms Eagle said the plans were "not about criminalising art or pornographic cartoons more generally, but about targeting obscene, and often very realistic, images of child sexual abuse which have no place in our society".
Shaun Kelly, safeguarding manager for children's charity NCH, said the proposals were a step in the right direction.
He said: "This is a welcome announcement which makes a clear statement that drawings or computer-generated images of child abuse are as unacceptable as a photograph."It adds to the range of measures to help ensure the safeguarding of children and young people."