Actions of vector groupoids

183586 In this work we deal with actions of vector groupoid which is a new concept in the literature‎. ‎After we give the definition of the action of a vector groupoid on a vector space‎, ‎we obtain some results related to actions of vector groupoids‎. ‎We also apply some characterizations of the category and groupoid theory to vector groupoids‎. ‎As the second part of the work‎, ‎we define the notion of a crossed module over a vector groupoid‎. ‎Finally‎, ‎we show that the category $\mathcal{VG}$ of the vector groupoids is equivalent to the category $\mathcal{CM}od\mathcal{VG}$ of the crossed modules over a vector groupoid‎.