Palm Harbor FL Weather Forecast The weather in Palm City is referred to as sunny weather. Hence, one can expect sun-lit conditions in Palm City. The climate in Palm City is described as agreeable, having temperate temperatures and a calm breeze whispering across the area. The temperature in Palm City generally warm, which makes it an excellent destination to experience outdoor activities. There may be occasional showers or thunderstorms in Palm City, but they are usually short-lived and easily pass through the area. Overall, the weather in Palm City can be sunny and warm, with moderate temperatures and a gentle breeze, which makes it a ideal spot for outdoor activities and leisure.