Firstly, hesitant fuzzy is expanded into grey hesitant fuzzy sets. Secondly，the ″kernel and grey degree″ method of grey system is used instead of data supplement method that traditionally presupposes risk preferences of decision-makers. It enhances the reliability on the premise of maintaining information domain. Then the ″kernel and grey degree″ algorithm is extended to the decision making process of grey relational grade. Finally, an example is given to demonstrate the feasibility and applicability of the method. The method is also compared with the related literature methods.