FPUS42 KTBW 201914 City Forecast for Fort Myers, FL Issued Monday afternoon - May 20, 2013 .Monday night... Low 70, 30% chance of precipitation. .Tuesday... Thunderstorm, high 90, 50% chance of precipitation. .Tuesday night... Low 70, 20% chance of precipitation. .Wednesday... Partly cloudy, high 90. .Wednesday night... Low 71.