Many distributed applications have become very useful in these days, such as reservation enquiry in railways and airways, status of postal, and Internet banking. All these are related to common database, through which they are connected to provide the result of user's query. But, the purpose of the above-distributed application will fail if we do not work cleverly on distributed database design. If we design the database with some motive to improve the performance of the application, the tolerance of the distributed database increases and it can handle several queries concurrently. So, improving the performance of a database system is a challenging research area. Earlier approaches have suggested fragmentation solution based on the data access and frequency of the queries. Previously distributed design used attribute matrix approach to generate a new matrix upon which they applied to their clustering algorithm to find out different fragments, which involves little bit complicated computation. In this paper, we present a vertical fragmentation technique, which uses attribute usage matrix instead of attribute affinity matrix by applying apriori algorithm on usage matrix for partitioning the relations. Our result comprises the proposed technique, which reduces the overhead of complicated computations.