Abstract: The Low and High Trailing Execution (LHTE) stop orders system provides a method for a user to specify multiple values to protect stock market investments. This invention allows a user to specify more than one stop loss value including the following: a. the minimum (low) stock or option price via a percentage or number, b. the maximum (high) stock or option price via a percentage or number and c. the trailing stop price via a percentage or number. These user-specified values are kept internally in the stop orders system and at the appropriate time converted to a market order. These are not market orders nor are they one-cancels-all orders, one-cancels-other orders or if-then strategies which are all types of market orders.