Target panic. I've had the same problem with both my compound and recurve. Luckily, I was able to fix the recurve.
I like the suggestions already given. Something I like to do: Formulate a shot sequence like, "Hit and Hold", "Ready, Anchor, Release", etc. On the cue that means let the arrow go, have someone else say it. My two year old daughter is great help. I say, "Ready" (anchor), "Set" (hold your anchor), and then I when she says "Go", the arrow is on it's way. Get's you in the habit of being at full draw, aiming at something you WANT to shoot, and not releasing prematurely.
Next, never think it's just going to go away. You have to be disciplined in practicing drills that will help with the issue. Above all, be patient, and remember to enjoy archery.