DDG has filed an emergency motion to stop Halle Bailey from taking their infant son out of the country … claiming she poses an “imminent emotional and psychological risk” to the child.

The rapper filed the docs Wednesday morning asking for an emergency hearing because he says Halle has made plans to fly with their son, Halo, to Italy on Saturday.

DDG says the court shouldn’t allow this because Halle isn’t mentally healthy enough to care for herself and their child, and he worries about what she might do if she leaves the court’s jurisdiction.

On another occasion, two months after Halo was born, DDG claims Halle sent “a series of alarming text messages threatening to kill herself and suggesting that their infant son, Halo, might also be harmed.”

As you know … Bailey has accused DDG of abusive behavior in the past — including once when she alleged he slammed her face into a steering wheel and chipped her tooth.

DDG tells a different version of events … claiming he came to pick up Halo for his custodial time with his son, but Halle jumped into his backseat when he did, demanding they come up with a formal co-parenting schedule.

DDG alleges she became increasingly agitated and started jumping from the backseat to hit him … and, her momentum carried her forward and she smacked her head on the steering wheel.

In fact, DDG says he was actually on the receiving end of abuse by Halle … including photos of a large cut on his hand in the docs — which he says Bailey caused.

DDG is asking the judge to block Halle from taking Halo to Italy. He also wants sole legal and physical custody of their son, or — if he’s not granted sole custody — then he wants all custodial exchanges facilitated by a third party.