In order to breed easily, most home aquarium shrimp species require a constant food supply, plant cover and stable water conditions. Given these parameters, shrimp will readily reproduce without much additional encouragement.
Water conditions are the most important factor to encourage shrimp reproduction. Ideally, the water should have a neutral to slightly basic pH. A temperature around 81 degrees Fahrenheit will help facilitate breeding, as it simulates summer conditions. Increasing water hardness also helps. Adding limestone to the tank will increase calcium and other mineral levels, which are necessary for the maturation of eggs.
It is also important that the shrimp feel safe in their environment. Vulnerable conditions will inhibit their natural reproductive instincts, so it is important that the shrimp have adequate plant cover and hiding spaces.