Passport holders from around 60 nations, including the United States, United Kingdom, European Union, Australia, New Zealand, and Canada, do not require a visa to enter Iceland as a tourist. Stays are limited to a maximum of 89 days in any six-month period. If you are coming from or going to another Schengen country, this time must also be included in your allowance. Iceland is incredibly safe with very low crime rates. A bigger concern is ensuring that you pack correctly for a climate that can swing from sunny skies to snow showers in a couple of hours. You can find more information here.