Abstract: A method is disclosed for remotely measuring the vertical height and/or density of a drilling fluid column in a marine riser. The hydrostatic pressure of the drilling fluid is measured at any point below the surface outlet of the drilling fluid in the marine riser. The distance between the surface outlet or discharge level of the drilling fluid (normally the top of the fluid column) in the riser and the level in the riser at which the presure measurement is made (bottom of the fluid column) is known because of the physical arrangement of the riser permitting conversion of the pressure measurement to density. The height of the fluid column in the riser from the bottom to the top thereof when the top of the fluid column falls below the surface outlet is determinable by using the measured fluid density just prior to the drop in the height of the fluid column.