In general:

It depends on the circumstances in the dream, whether the destruction points to major changes in the life of the dreamer or a trauma that he has self-inflicted. If the dreamer destroyed somehow himself in dream, then this dream means, that he must control himself. If the dreamer sees destruction of another person in a dream, then perhaps the dreamer feels powerless in the face of change.

Psychologically:

It is possible that the dreamer is aware that he builds emotional energy with which he can deal only if he destroys the old settings and attitudes.

Spiritually:

In the dream can be expressed destructive fanaticism and anarchy (the need to destroy an old order).

Traditionally:

European
– To destroy something in dream: it is a very unfavorable omen and depend on value of destroyed thing.

Hindu
– To see destruction in dream: you will find a new happiness.