Phenomenology is a philosophical movement of contemporary western thought. Its founder was Edmund Husserl (1859-1938). Its main purpose was oriented towards a methodological research. In his phenomenological method Husserl tried to find an absolute scientific standpoint for philosophy without any presupposition. This study refers to my two previous articles, namely “The Concept Epoche by Edmund Husserl” (Bulletic of the College of Liberal Arts, National Taiwan University, No. 21, Taipei, June 1972, pp. 203-307) and “A Comparative Study of Laotzu and Husserl－A Methodological Approach” (Analecta Husserliana, Ed. by A－T. Tymieniecka, Vol. XVII, D. Reider Publ. Co. Dordrecth/Boston/Lancaster, 1984, pp. 65-73) to show the husserlian essential way of researching from the epistemological investigation to the ontological sphere. In the problem of on the methological repistemology, there would be raised the following questions. Namely: What is the thinking subject? What would be the object of this thinking subject? Furthermore, in the phenomenological study, the instrument method, and process used by the subject become also centres of problems. The relation between subject and object is therefore to be discussed in this article. In the discussion the relation between subject and object Husserl then used his epoché (bracketing) to transcend all the sensible world in the first step, in the second step however he refers the cartesian meditations, in which the cogito seemed to be the genuine and absolute standpoint for the beginning of all sciences. The cartesian ego, cogito, is therefore the transcendental subjectivity for Husserl and his followers to guarantee his methodological beginning. But phenomenology would not satisfy with this bubjectivity. Contrarily, it would like to extend its influence on the objective world. That is the method of the husserlian Wesensschan through which all the external world would be constituted by the subjective intentional Bewuβtseinsstrom (consciousness-stream). The place in which Husserl overcomes Descartes lies on the refinding of the objective world. Descartes said “cogito, ergo sun”, Husserl can even added “cogito, ergo die Welt ist”. Phenomenology demonstrates indeed a way from epistemology to ontology.