Currently, the food consumption in Indonesia especially in Java is dominated on rice. The dependence on rice and ignoring the potential of local food will be very dangerous. Therefore, there are more efforts needed to explore the potential of local food in Indonesia. One potential local food that can be improved is the production of maize. The number of districts and cities that produce maize in unit time can be assumed as a counting process. The counting process of the number of districts and cities that produce maize is called the point process. Then point process can be formed by the counting measure approach. It will be used for determining the intensity of maize production in Java. The formation of the point process in this article is defined in R2 with assumptions: 1) the result of counting processes is closed and finite sets of nonnegative and finite integers and 2) the counting process has independent increments properties. This paper aims to explain how to establish the point process through the counting measure approach and to apply on maize production data in the Java Island. There are four steps to count the districts and cities that have maize production more than 28000 tons/year by using counting measure approach: 1). Divide the Java Island into four sub area based on latitude and longitude location, 2) Classify the districts and cities that have maize production more than 28000 ton/year, 3) Map the districts and cities that fulfilled criteria no 2. 4) Determine the intensity of production by count measurement process. The result of discussion presents that intensity of maize production is no more than 1.9E-04. It means there are only 28 districts and cities that produce maize greater than 28,000 ton/year in four sub area partition. They are located in Special Region of Yogyakarta, Central Java and East Java.