Zinnias begin to flower in mid-summer, according to the website Organic Gardening. They then continue to produce blooms until the first frost.
Zinnias will flower more prolifically if you remove dead blooms after they die. After you remove the dead blooms, your plants should produce new ones to replace them.
Once a hard frost settles in your region, your zinnias will die. They are annual plants, so you must sow seeds the following spring if you want zinnias to return to your garden.