Colorado Judicial Branch | 8,099 followers on LinkedIn. The Colorado Judicial Branch works to provide equal access to justice, contribute to public safety, and strengthen the rule of law across Colorado. Our courts and probation offices are committed to impartial and timely dispute resolution, support for families, litigants and victims, client rehabilitation and meaningful community engagement. Colorado's State Court System Appellate Courts The Colorado Supreme Court is the court of last resort in Colorado's state court system.