Col. Denise Lind ruled during the third day of a pretrial hearing at Fort Meade for Pfc. Bradley Manning.
The ruling doesn't mean the pleas have been formally accepted. That could happen in December.
But Lind approved the language of the offenses to which Manning would admit.
She said those offenses carry a total maximum prison term of 16 years.
Manning made the offer as a way of accepting responsibility for the leak. Government officials have not said whether they would continue prosecuting him for the other 15 counts he faces, including aiding the enemy. That offense carries a maximum penalty of life in prison.
Under the proposal, Manning would admit to willfully sending the following material: a battlefield video file, some classified memos, more than 20 Iraq war logs, more than 20 Afghanistan war logs and other classified materials. He would also plead guilty to wrongfully storing classified information.
Meanwhile, Manning's lawyers are arguing that the charges against the soldier should be dismissed because of what they call needlessly harsh treatment during Manning's nine months of confinement in a Marine Corps brig in Quantico, Va.
Manning remains on the list of prospective witnesses.