Responding to the demands of the technology-driven global economy, engineers increase their technical competencies, improve cross-cultural communication skills, and become more innovative, entrepreneurial and flexible (Continental, 2006). As the demands on the engineer are increasing and the role of an engineer evolves and becomes more prominent, the importance of teaching engineering ethics to engineering students is increasing too. This article investigates current trends in the teaching of engineering ethics in the context of diverse approaches to evaluating the responsibility of an engineer. The article reveals the complexity of the issue, which confirms the need for future engineers to be competent in dealing with ethical dilemmas. The engineer must be aware of the fact that his or her invention will initiate a chain of events that will involve the use of this invention and will have various social, environmental and legal ramifications, which should be taken into account. The engineer must also be sufficiently prepared to make ethical decisions without sufficient guidance, as the full range of possible future scenarios cannot be foreseen.