Method for controlling the orientation of a single-axis solar tracker orientable about an axis of rotation (A), said method implementing the following steps: a) observing the evolution over time of the cloud coverage above the single-axis solar tracker , by observing the cloud coverage at several consecutive instants by means of an observation system of the sky above the single-axis solar tracker ; b) translating each observation of the cloud coverage into a bidimentional mapping of the solar luminance and determining the evolution over time of an optimum inclination angle (θopt) of the single-axis solar tracker , depending on the observed cloud coverage, by calculating for each bidimentional mapping at each instant an optimum inclination angle (θopt); c) predicting the future evolution of the cloud coverage based on the prior observed evolution of the cloud coverage, by calculating at each present instant at least a predictive mapping of the solar luminance at a future instant, by implementing a predictive calculation taking into account an evolution of the distribution of the solar luminance on the bidimentional mappings established at several past instants; d) calculating the future evolution of the optimum inclination angle (θopt) depending on the prediction of the future evolution of the cloud coverage, by calculating for each predictive bidimentional mapping a predictive optimum inclination angle (θopt) at a future instant associated to the maximum of the solar luminance on said predictive ; and e) servo-controlling the orientation of the single-axis solar tracker depending on a wear rate of mechanical members of the single-axis solar tracker loaded for an orientation change of the single-axis solar tracker by starting from a present inclination angle (θp) until reaching a predictive optimum inclination angle of (θopt). a) observing the evolution over time of the cloud coverage above the single-axis solar tracker , by observing the cloud coverage at several consecutive instants by means of an observation system of the sky above the single-axis solar tracker ; b) translating each observation of the cloud coverage into a bidimentional mapping of the solar luminance and determining the evolution over time of an optimum inclination angle (θopt) of the single-axis solar tracker , depending on the observed cloud coverage, by calculating for each bidimentional mapping at each instant an optimum inclination angle (θopt); c) predicting the future evolution of the cloud coverage based on the prior observed evolution of the cloud coverage, by calculating at each present instant at least a predictive mapping of the solar luminance at a future instant, by implementing a predictive calculation taking into account an evolution of the distribution of the solar luminance on the bidimentional mappings established at several past instants; d) calculating the future evolution of the optimum inclination angle (θopt) depending on the prediction of the future evolution of the cloud coverage, by calculating for each predictive bidimentional mapping a predictive optimum inclination angle (θopt) at a future instant associated to the maximum of the solar luminance on said predictive ; and e) servo-controlling the orientation of the single-axis solar tracker depending on a wear rate of mechanical members of the single-axis solar tracker loaded for an orientation change of the single-axis solar tracker by starting from a present inclination angle (θp) until reaching a predictive optimum inclination angle of (θopt). <EOS>