"It looks like they were just spraying bullets across my property", Robertson told The News-Star.
King has been charged with one count of aggravated assault by drive-by shooting, a felony, and booked into the Ouachita Correctional Center.
Bond was set at $150,000, according to the report.
At this point, no arrests have been made, and no suspects have been named, but the Ouachita Parish Sheriff's Office has opened an investigation into the shooting.
Both homes are part of the estate belonging to Robertson.
"We were pretty shook up", Robertson told USA Today Network. The homes have been full of family members - including their son John Luke Robertson and his family and their daughter Sadie Robertson and her husband - staying amid the coronavirus pandemic.
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The truck in question is described as a white on brown Ford F-250 pickup with large aftermarket tires and rims.
"Nobody was outside at the time, but everybody had been out about five minutes before", Willie Robertson said.
"The timing of where we were at the time was insane protection because we had all just gone inside", Sadie wrote.
No one was injured in the shooting, where up to 10 shots were fired at Robertson's home from an alleged van on a road outside of West Monroe property, according to to the Star Monroe-News. The Duck Commander CEO added that he's "100% certain" the suspects were targeting his family or his property, "but I don't know why". The truck was captured on surveillance camera.
Deputies said other occupants were in the auto with the suspect during the shooting but they have not released more information about additional suspects.
When King was located, investigators say, he stated he was trying to see whether the gun's safety was on and it "went off numerous times" while in his hand.