One of the most important functions of the grid is to share resources between multi-virtual organizations,so the scheduling of the grid resources is the key point.This paper produces a novel scheduling algorithm of the grid resources: the minimal hop algorithm.Firstly,we find the resources in the breadth first search way,at the mean time,hop field is generated,and then,we schedule the resources according to the hop field.It is testified by simulation implement that the minimal hop algorithm does improve the efficiency of the grid resources scheduling greatly.