In the procedure of the risk appraisal for a project of offshore towing of the large-size object, an algorithm of the «risk-management» is proposed to estimate the whole scope of assuming hazardous events. The initial – qualitative phase of analysis determines a possible range of risk factors, provides their description and classification. The second – quantitative phase evaluates their probability and subsequent cost values. The third stage of the risk values analysis – phase of the control – provides the cyclic recurrence of the risk-management. In sum, estimation of probable kinds of risks, while the towing, leads to ensured choice of compensating measures and, as a result, provides the needed level of security during the towing of, for instance, the jack-up rig platform.