The President of the Permanent Tribunal represents the Permanent Tribunal and acts as its agent.

The President of the Permanent Tribunal Arbitration shall appoint the arbitrators and chairmen of the arbitral tribunals as provided by the Kosovo Rules of Arbitration, shall be responsible for the maintenance and development of co-operation with other organizations whose activity is of interest for the work of the Permanent Tribunal and carry out other tasks envisaged by the rules of the Permanent Tribunal and decisions of the Presidency.

Also President is on charge for on co-operation with other arbitral institutions. Currently, the President of PTA is reputable lawyer Mr. Virtyt Ibrahimaga.

The vice president of the PTA is Dr. Christian W. Konrad. Dr. Konrad is an Austrian Rechtsanwalt (Attorney at Law), a Solicitor of England and Wales and admitted as Euroadvokat in the Slovak and Czech Republic.

He specializes in commercial and corporate law, public international law and international commercial and investment arbitration, with particular emphasis on industrial engineering, construction, joint ventures, energy and infrastructure-related matters and commercial and corporate disputes in common and civil law jurisdictions.

Dr. Konrad has represented international organizations and private commercial parties in a broad range of cases involving inter alia long-term energy contracts, complex construction contracts, concession agreements, entitlement to natural resources, immunities from jurisdiction, infrastructure projects, mergers and acquisitions, and failed investments in Central and Eastern Europe and Africa. He also advises clients in contract negotiations, public tender proceedings, on the protection of their investment and enforcement of arbitration awards and state court judgments.