The increasing number of economic and cultural aid programmes for Vietnam to reconstruct its war-torn economy in recent years from the United Nations Development Programme and other international and governmental organizations has created a great demand for English language teaching and learning in Vietnam. The language problems that face Vietnamese scientists and technicians working in these aid programmes have been a major concern of many educational institutions in Vietnam and a reason for the author of this Study Report to take up this study. Chapter one of this study covers major stages of development of the teaching of English for Specific Purposes (ESP) and various factors that influence the teaching of ESP. Chapter two discusses some current issues in the teaching of ESP in Vietnam with special reference to course organization, syllabus and material design at the Hanoi Foreign Language College. It also points out some misunderstanding and misconception in the teaching of English to Vietnamese scientists and technicians. Chapter three looks at major language problems that Vietnamese students meet when they go to study at different colleges or universities in English speaking countries. A close investigation will be carried out over a number of Vietnamese veterinary doctors studying at the university of Queensland in Australia. Chapter four is concerned with the selection of suitable syllabus models for ESP/EAP courses at HFLC and also attempts to work out appropriate syllabuses for EAP courses for Vietnamese students going to study overseas. The final chapter suggests some further considerations for organizing ESP/EAP courses at HFLC especially for material production, ESP teacher training and ESP testing. It is hoped that this Study Report will give language teachers in the ESP Department at the Hanoi Foreign Languages College a clearer picture of what ESP is all about and provide some guidelines for successful organization of teaching ESP and EAP to Vietnamese students.