For the secondary recovery of oil field, the history of production and its relation to the physical condition of the reservoir should be fully studied at first. In this paper the fundamental problems about the reservoir conditions of the first zone of Innai oil field are discussed upon the latest data, namely, the structure of the reservoir, the characteristics of crude and connate water, the production history regarding to the individual well as well as to the reservoir as a whole, the relation between the production potential and daily well production the oil reserves, the relation between oil and water production, and finally gas production.