A toilet bowl lid actuated linkage toilet flushing system wherein a conventional toilet-flushing flapper is actuated by a drain pull chain controlled relative to the positioning of the toilet bowl lid to the toilet. The toilet bowl lid must be moved from an upward position to a downward position to flush the toilet, which a magnetic plastic ribbon actuator mechanism is provided for completion of the toilet flush even when the toilet bowl lid remains in the downward position. Movement of the lid actuates a magnetic flush pull of a plastic ribbon that is linked to a drain pull chain connected to the flapper. An alternate version of the toilet bowl lid actuated linkage toilet flushing system is compatible with flushometer toilets and enables an opening and closing of a valve controlling outflow of a pressurized water source.