The gradient and scattering force of Rayleigh dielectric particles induced by one-dimensional Airy beam were numerically investigated. The impact of particle radius and refractive index on the gradient and scattering forces were discussed. Trajectories of particles in the Airy beam were investigated and their relationships with particle radius, refractive index, and viscosity of surrounding medium were studied. Results validated that larger size and larger refractive index of particles resulted in larger gradient and scattering force. Particles in the Airy beam were firstly dragged into the nearest optical intensity peaks, and then oscillated along the parabolic trajectories and finally converged to the parabolic line. Smaller particles and larger viscosity of surrounding medium resulted in less oscillation and faster convergence to the parabolic line.