Seeing an eagle in your dream signifies that you are facing some challenges or pressures in your life. If you are fighting with the eagle, it suggests that you may be feeling dissatisfied or stressed due to a powerful person in your life. On the other hand, if you own a calm, trained eagle, it symbolizes happiness and prosperity. This indicates that you are receiving the right guidance in your life and are moving towards success.
From Imam Muhammad Ibn Seerin's Dictionary of Dreams According to Islamic Inner Traditions â entry "Eagle" (page 134).
Eagle is the king of birds. Struggling with an eagle in a dream means distress, fury of one's superior or subjugation to an unjust person. Owning an obedient, well tamed eagle in a dream means prosperity, honor and power. Owning and flying an eagle in a dream means becoming a tyrant. The scratch of an eagle in a dream means a sickness. A killed eagle in a dream means the death of a ruler. If a pregnant woman sees an eagle in her dream, it means seeing a midwife or a nurse. In a dream, an eagle also may be interpreted to represent a great ruler, a prophet or a righteous person. Hearing the cry of an eagle in a dream means a fight. Eating the flesh of an eagle or getting hold of some of its feathers in a dream means receiving money from a ruler. If an eagle catches someone and soars away with him horizontally in a dream, it means travels. If he flies away with him vertically in the dream, it means death. In a dream, an eagle also means longevity, prosperity, innovation or heedlessness. (Also see Vulture)
Note: Islamic dream interpretation depends on the dreamer's circumstances and state. This is a general guide drawn directly from the source book.