Resumen del autor, extraído del trabajo. There were more than 200 wells drilled in basement of White Tiger and Dragon Oilfields in Vietnam. These wells were drilled in complicated geological conditions: - high depth of the basement; - high hardness (VII- VIII category Strength) and abrasiveness (V- VI class) of formation; - 3D space disposition of cracks and fault in basement; - low formation pressure: 0.83-0.93 of hydraustatic pressure, severity lost circulation. On data of the last years more than 60 % of wells drilled by the known petroleum companies on these oil field does not hit target circle ("Sedco Forex" -USA, “Sakhalinmomeftegas-Rosneft", Russia, joint venture “VietSovPetro" etc...) In this paper, based on modern engineering calculations, laboratory researches and experiments authors offer new engineering solution ensuring dynamic stability of drilling process in the basement and reaching the designs targets.