To dream that you are running away from someone indicates an issue that you are trying to avoid. You are not taking or accepting responsibility for your actions. In particular, if you are running from an attacker or any danger, then it suggests that you are not facing and confronting your fears.
To dream that something or someone is running towards you refers to your willingness to confront any situation head on. You need to analyse the significance of what is running towards you. If you are the one running towards someone or something, then it refers to your determination to go after what you want. Consider who or what you are running towards for additional analysis.
To dream that you are trying to run but cannot make your feet move as fast as you want them to signifies lack of self-esteem and self-confidence. It may also reflect your actual state of REM paralysis during the dream state.
To dream that you are running alone refers to your determination and motivation in the pursuit of your goals. You will find success and rise above those around you. Alternatively, the dream may mean that you need to hurry up in making a decision.
To dream that you are running with someone signifies cooperation.