Cleaning clear plastic shower curtains can be a nightmare for some people so this could be considered as one of the most sought after tips for cleaning.
The shower curtain can quickly become covered in dirt and discoloured because of the daily spray it receives from the shower. Try placing the shower curtain in the washing machine with normal laundry soap and add a cup of white vinegar to the wash. Then simply place it on a gentle cycle.
Alternatively, hand wash the curtain using the same two chemicals. However, be sure to use rubber gloves if cleaning the curtain this way! White vinegar is acidic and is an excellent rinsing agent for soap and water stains that have been left by the shower.