The Afghan defence minister and the US commander would sign the deal on Sunday to bring night raids under Afghan leadership, a spokesman said.
It is thought US special forces units will now take a support role in the operations.
The raids have been a source of tension between the Afghan government and the US military.
The agreement comes ahead of the planned withdrawal of US and other foreign troops from Afghanistan in 2014.
Night raids are currently carried out by Nato and Afghan special forces.
The BBC’s Bilal Sarwary in Kabul says the Afghan government wants to ensure that these operations are entirely led by its forces and that they give explicit permission for other troops to take part.
The deal will also allow Afghan judges to review the operations and decide whether to hold detainees after the raid.
Afghan officials told the BBC that last-minute discussions were still taking place over interrogation of detainees.
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