Petition dream meaning is explained below using 4 different sources. Each interpretation is shown with its source.

Interpretation 1 — Versatile - Anonymous

Psychological / emotional perspective: It is worthwhile deciding which is more important in the dream, the petition itself, the cause or the people with whom we are working. We can then consciously decide where our loyalties lie in what is represented.
Source: Dream Meanings of Versatile Author: Versatile - Anonymous

Interpretation 2 — Versatile - Anonymous

Material aspects: To be signing a petition indicates committing to a deeply held belief.

To refuse to sign means we question our commitment.

To have a petition refused signifies disappointment in a working environment.

Source: Dream Meanings of Versatile Author: Versatile - Anonymous

Interpretation 3 — Versatile - Anonymous

A petition is a supplication, request or prayer and has this meaning in a spiritual sense. Nowadays it has the additional meaning of a request from like-minded people.
Source: Dream Meanings of Versatile Author: Versatile - Anonymous

Interpretation 4 — myjellybean

Whether you filled it out, or were getting sign-ups, to dream about a petition means that you are making progress toward your goals.
Source: My Dream Interpretation Author: myjellybean