In this paper the grounds for refusal of the recognition and enforcement of foreign arbitral awards in Denmark will be reviewed and analysed in accordance with the relevant legislation, mainly, Danish Arbitration Act, the New York Convention on the Recognition and Enforcement of Foreign Arbitral Awards, and case law. The reference to other jurisdictions will be made when appropriate in order to illustrate the similarities or distinctions in different legal regimes for better understanding of the relevant Danish regulation.In the first chapter of this paper the growing importance of the arbitration as such will be discussed briefly along with the status of the New York Convention in Denmark. In the second chapter Section 39 of the Danish Arbitration Act will be analysed in detail and compared with the New York Convention in order to get an overview of available defences to the enforcement and recognition of a foreign arbitral awards in Denmark. In the third chapter the relevant conclusions will be made.