Increase the temperature - this increases the kinetic energy of particles, so when they collide with each other the collision has a greater energy so is more likely to overcome the activation energy barrier to a reaction. This means a greater proportion of collisions will be successful and so the rate of reaction will be faster.
Increase the concentration of reactants - this will Increase the number of molecules in the same space, therefore more collisions will occur between molecules so the rate of reaction will be faster. This is also true for increasing the pressure of a gas.
Increase the surface area - if the reaction involves a solid, it can be broken down into smaller parts to increase its surface area. This means more molecules will be available to react and so the reaction will be faster.
Use a catalyst - a catalyst is a substance which increases the rate of a reaction without being used up in the reaction. It does this by providing an alternative pathway for the reaction which has a lower activation energy and therefore takes place more quickly.