With solutions for the cutting process at large depths on the drawing table, we have started to focus on the question how to bring mined material from the sea bottom to the surface. Here we shortly outline different transportation concepts, some of which are already well known within the dredging industry. Other transportation concepts are less known. Due to the economical considerations, continuous transport seems to be most promising. Therefore, most of the concepts are focused on the hydraulic transportation of mined material. We address the hydraulic transportation methods and describe the possible hardware involved i.e. the different pump types with their characteristics, potential advantages and disadvantages.Hydraulic transportation has several advantages and will in most cases prove to be the most economical transportation solution. It also introduces a set of potential risks thaough that have to be abated in order to make vertical transportation feasible. We will address the foreseeable significant problems that might be met in the course of the vertical transport of slurries from the large depths.Additionally we consider the problem of the energy input for the centrifugal pumps. For potential solutions, we review the experience gathered in the offshore industry. Several potential solutions such as hydraulic drives, electrical drives or mechanical drives are available. We will discuss how close the solutions approach the requirements of the vertical transportation system, and where we expect further development be required before it is ready for use for deep sea mining applications.