Any enclosed space tends to signify the feminine containing principle. A box also represents the material world. A box also implies a degree of rigidity in our thinking.
Psychological / Emotional Perspective:
Various types of boxes perceived in a dream may represent different aspects of the feminine personality. Thus a decorated box can represent a flamboyant personality, whereas a plain cardboard box might suggest ordinary everyday concerns.
Everyday Material Aspects:
When we feel boxed in we are being prevented from expanding in an appropriate way. To dream of packing things in a box indicates that we are trying to get rid of feelings or thoughts with which we cannot cope.