Professor Joseph Caleb is a co-founder of a local D.C. based boutique litigation law firm.  Prior to co-founding Caleb Andonian, Joseph honed his litigation skills at the Public Defender Service for the District of Columbia - often recognized as the leading training ground for trial attorneys in the United States - where he served as lead counsel on over fifty trials against local and federal prosecutors.  Joseph then built a highly successful solo practice, which focused on criminal and civil matters in D.C. and Maryland in state and federal court.  Joseph's civil-litigation work includes representing plaintiffs who have suffered catastrophic personal injury and civil rights violations.

In 2018, Joseph was selected by The National Trial Lawyers as a "Top 40 Under 40" lawyer - a distinction extended exclusively to trial lawyers doing civil plaintiff and criminal defense work.  The National Trial Lawyers again recognized Joseph's accomplishments in 2020, this time naming him a Top 10 trial lawyer nationwide in his areas of expertise.  In 2023, Joseph was inducted into the American College of Trial Lawyers.  Founded in 1950, the College is composed of the best of the trial bar from the United States and Canada. Fellowship in the College is extended by invitation only, and only after careful investigation, to those experienced trial lawyers of diverse backgrounds who have mastered the art of advocacy and whose professional careers have been marked by the highest standards of ethical conduct, professionalism, civility, and collegiality.

Joseph has substantial experience teaching litigation skills to lawyers and law students. He has served as an adjunct mock-trial instructor, and as a guest lecturer on a variety of legal topics. He also serves as a faculty member of Harvard Law School's Trial Advocacy Workshop.  He also regularly leads litigation training for experienced lawyers around the country.

In July 2021, a panel consisting of D.C. Mayor Muriel Bowser and the Chief Judges of the D.C. District Court, the D.C. Court of Appeals, and the D.C. Superior Court appointed Joseph to serve on the Board of Trustees for the D.C. Public Defender Service, where he now serves as Board Chair.