Objects not moving together when animating!

When I imported 2 objects and parented them, the seem to move together perfectly when rotating moving,etc. However when I play their own animations, they don’t stick together, instead they just play thier animation the way they were supposed to, so how do I still make them attached even when playing thier animations?

Describe what you are animating. If what you did was object to object parenting, animation will drag child around. However if your animated object is rigged, you will need to parent child object a bone, and not to the mesh object.