1. Introduction to Hate Crimes and Hate Speech: A Part of Extremism. – 2. Conceptual and Legal Issues of Extremism in the Slovak Republic: Finding the Borders of Allowed Speech. – 3. Criminal Law Aspects of Extremism. – 4. Administrative Law Aspects of Extremism. – 5. Practical Problems of Punishment of Hate Crimes and Hate Speech Related to Subsidiarity of Criminal Law. – 6. Sanctioning of Hate Crimes and Hate Speech. – 7. Conclusions and Recommendations.