We present the first results of a measurement of the total crosssection OT in proton-proton collisions at equivalent laboratory momenta between 291 and 1480 GeV/c at the CERN Intersecting Storage Rings (ISR).The method is based on the measurement of the ratio of the total interact ion rate and the machine luminosity. The data show an increase of about 10% in OT in this energy interval. The simplest and most fundamental measure of the size of the proton as observed in very high energy p-p collisions is the total cross-section.The lower energy accelerator data have resulted in the expectation that CTT should remain essentially constant through the ISR energies, and much of the phenomenological description of strong interactions in the ISR range has been based on the notion that we have nearly reached the energyindependent regime of hadron physics. In this paper we report a measurement of CTT at four energies and find that there is an appreciable increase between 291 and 1480 GeV/c equivalent laboratory momentum.At a machine with two colliidng beams, one cannot measure CTT with a traditional transmission experiment. We instead find CTT from the detected rate RT of all interactions through the expressionwhere L is the luminosity of the beams. The luminosity represents the overlap of the two beam fluxes in the intersection region, and replaces the product of beam intensity times number of targets/cm 2 in a conventional transmission experiment. In terms of the ISR parameters, where I 1 and I 2 are the beam currents, e is the charge of the proton, c the velocity of light, and a the crossing angle of the two beams. The effective height heff is defined in terms of integrals over the direction (vertical) perpendicular to the plane of the two beams, asHere p 1 and p 2 are the beam densities as a function of z, the vertical coordinate. Inasmuch as all parameters in Eq. (2) except heff are known or measured during ISR operation to better than 0.1%, the determination of heff becomes the most delicate task in measuring L.In the present letter, a brief description of the experimental apparatus and most relevant information on the procedure followed to measure CTT are given. More details, both on the detectors and on the data reduction, can be found in a forthcoming paper 1 ).-2 -The general layout of the experiment is shown in Fig. 1 (Fig. 2a). narrowed to an elliptical cross-section (see Fig. 2c). These hodoscopes are treated logically as small-angle elements of (H 3 • H 4 ) .In order to measure the emission angle of the produced particles, used to calculate the fraction of events lost by the trigger (see below), two additional hodoscopes H 2 8 and H 4 8 are set behind the trigger hodoscopes H 2 and H,+. The structure of these counters is shown in Fig. 2d. The Lhodoscope is also split into approximate 8-bins (see Fig. 2b).When a trigger occurs, the information pertinent to an event is transferred to an on-line computer via a CAMAC data acquisition system. This