If the object is moving in a straight line at a constant speed, then its acceleration is zero, and the direction of acceleration is undefined.
If the object is moving in a straight line at a changing speed, then its acceleration is in the same direction as its motion if the object is speeding up, and in the opposite direction to its motion if the object is slowing down.
If the object is moving in a circular path, then its acceleration is always directed towards the center of the circle, regardless of the direction of its motion.