Bodrum: Weather Forecast. The warmest day over the next 7 days in Bodrum is forecast to be 16th April at 21°C (70°F) and the warmest night on 19th April at 15°C (59°F). The average temperature over the next 7 days is forecast to be 19°C (66°F) and there will be 5 days of sunshine . The average for April is 17°C (63°F) in Bodrum.