Yes, the force of gravity acts on all objects with mass, including dust particles. The force of gravity is proportional to the mass of the objects involved, so the force of gravity acting on a dust particle will be much smaller than the force of gravity acting on a larger object like a person or a planet. However, the force of gravity still acts on dust particles, and it can have a significant effect on their motion. For example, the force of gravity is what causes dust particles to settle to the ground.