NFL's Tarvaris Jackson Arrested -- Allegedly Pulls Gun on Wife ... 'I'll Kill You, Bitch' (MUG SHOT)

NFL quarterback Tarvaris Jackson -- who played for the Seahawks last season -- was arrested in Florida after allegedly PULLING A LOADED GUN on his wife and threatening to kill her.

TMZ Sports has confirmed ... the 33-year-old was arrested around 2 AM Friday for aggravated assault with a deadly weapon without the intent to kill.

According to the police report, Jackson pointed a loaded gun at his wife while intoxicated -- threatening to kill her -- all while their children slept in the same house.

"Jackson stated 'I'll kill you bitch, I'll kill you.'"

According to the report, cops arrived to the home -- and Jackson denied having a gun, however an officer observed a black ruger SR9C 9MM caliber handgun on the kitchen counter.

Jackson eventually fessed up to having a gun in his bag -- but insists he never pulled it out.

He also claims his wife had a knife -- and had insulted his football career.

"Upon arresting Jackson his story changed. Jackson stated that he did grab his book bag that contained his firearm because [wife] had a knife in her hand.

Tarvaris stated that he never withdrew his firearm from the bag, but that he did say that he should shoot her to which [wife] replied, 'You better be accurate because you ain't accurate on the field.'"

Jackson's wife told police ... "When Jackson drinks he can become violent and has hit her in the past."

Jackson was transported to the Osceola County jail. He's since been released on bail.