Averages for Paris in June. Weather overview. June is a fantastic time to visit Paris, France, when the weather is mostly warm, dry and sunny. The average temperature at this time of year rises up from 16°C on June 1 st up to 18.5°C by June 30 th.t 14°C, the average sea temperature for the closest coastal location to Paris in June is much higher than any of the previous months. Despite the increase in temperature, 14°C is usually considered to be too cold to enjoy a dip, so you’re best off sticking to indoor swimming pools if you’re eager to have a swim.