A cabled, non-inflatable type flexible wall dam for restraining or controlling the flow of water is disclosed. The cables and flexible wall of present invention are arranged in a manner that enables present flexible wall dams to open (lower) and close (raise) for controlling the flow of water. Present invention includes a reinforcement method that has a net like reinforcement layer and reinforcement cables, and therefore the dams of present invention can be built to be stronger, larger, and higher than the most commonly used inflatable flexible wall dams.