All honors-qualified undergraduates at CU Boulder are eligible to participate in the Honors Program offerings, as they choose.  There is no application process to become honors-qualified.  First-year students go through an automatic qualification process through the Admissions Office, and students who have been at CU longer than a year must maintain a 3.3 GPA or higher to participate.
The Honors Residential Academic Program is a Residential Academic Program (RAP) for honors-qualified students that have also chosen to live in the Honors dorm.  Honors RAP students, in addition to participating in the residential honors experience, are also required to take one class per semester through the Honors RAP.  It is necessary to apply to the Honors RAP program in order to participate.