Linear Incremental Hydraulic Actuators are a class of actuators consisting of one or more double-acting cylinders with are detachable from a common piston rod. The actuator works in a kind of rope-climbing motion. The cylinders engage to the rod, drive the load, disengage and retract. The various patterns, how these base actions of the realized cylinders are concatenated form the gaits of Linear Incremental Hydraulic Actuators. Depending on the gait the base actions are realized digital or continuous. For example, in the gait Smooth Motion engaging / disengaging is realized digital and the driving / retraction continuous. Other gaits may be realized fully digital. This contribution presents the concept of the Linear Incremental Hydraulic Actuator, an overview over various gaits, and how they can be combined to form advantages in applications. Advantages of Linear Incremental Hydraulic Actuators are or may be lower resource utilization and environmental impact, applicable for long or even infinite stroke, and simple integration.