Many visitors to Utah ask if there is a Utah National Parks pass. The answer is–not exactly. There's not a pass specifically designated for admittance to all of Utah's National Parks, but America the Beautiful passes sold by the National Parks Service will grant access to every National Park and National Monument in Utah. You can find out more about this pass at nps.gov. At the time of writing, an annual pass costs $80.
You can double-check this Utah National Parks list to see if the park you want to visit is covered by the pass.
To restate, there is no Utah National Parks pass. If you plan on visiting multiple parks in Utah, your best bet is to purchase the annual National Parks pass, which will admit you to any National Park in the United States for one year.