While crime doesnt seem to be directed towards tourists in particular, the U..S. consulate says crime in touristy areas like San Pedro on Ambergris Caye is higher than in others. However, Belize is definitely a country where a little common sense goes a long way.
Muggings are most frequent in Belize City, where a fourth of Belizes 300,000 citizens reside. Take cabs at night.
Belize boasts a tourist police force in addition to the primary force, though coverage is still inadequate. Any crime should be reported to both forces.
For police emergencies, dial 90
For the tourist police, dial 227-2222
To contact the U.S. Embassy in Belmopan, dial 822-4011For more about safety in Belize, read the Belize Consular Information Sheet.

