Wash the polyester tablecloth in warm water, using the permanent press wash option.
Dry the tablecloth in the dryer. It should not be overcrowded or it will wrinkle. Set the dryer on the permanent press setting.
Remove the tablecloth immediately after the dryer stops. Straighten out the tablecloth with your hands and hang it over a clothesline, chair or railing so the wrinkles and creases settle, which usually takes about three or four hours. If any wrinkles or creases remain, proceed to the next step.
Turn the tablecloth on its backside on an ironing board. Lightly spray the tablecloth with water and place a pressing cloth or piece of plain cotton fabric, such as a white pillowcase, on top.
Set an iron on the synthetic fiber setting and iron out the remaining creases and wrinkles. Continue to spray the tablecloth one section at a time as you iron it. The pressing cloth or fabric should always be between the tablecloth and iron to protect the tablecloth from any damage.