A method for the estimation of maximum friction between a vehicular tire and a road surface in which method: - road surface properties are measured by means of a sensor: - maximum friction is concluded on the basis of driving dynamics measurements from the state of motion of a vehicle and a tire when the tire is subjected to a friction force sufficient for reliably concluding the available maximum friction or at least the minimum value of maximum friction; characterized by A) classifying and organizing the road surface properties measurements such that it is possible to find out corresponding or similar road surface measuring results, or their classification or estimation results, from the road surface measuring results; B) measuring the state of motion of a vehicle and a tire and concluding therefrom an available maximum friction coefficient when the tire is subjected to a friction force sufficient for reliably concluding the available maximum friction or at least the minimum value of maximum friction reliably from the driving dynamics measurement data, and storing the resulting maximum friction estimate along with measuring results, or their classification or estimation results, regarding road surface properties measured at the moment of estimation in a database to be used later on; C) using the maximum friction estimate obtained in phase B as a current maximum friction estimate for the road surface until the measuring result of the sensor measuring road surface properties, or its classification or estimation result, is changed; D) classifying the changed measuring result as to road surface properties and retrieving a maximum friction estimate, corresponding to the changed measuring result, or its classification or estimation result, from the database according to a selection criterion including temporal proximity to present, and optionally geographical proximity and identity of a stretch of road comprising the road surface; and E) using this previously obtained maximum friction estimate as a new maximum friction estimate until the measuring result of the road surface sensor, or classification or estimation result thereof, is changed again or a new maximum friction estimate is measured. - road surface properties are measured by means of a sensor: - maximum friction is concluded on the basis of driving dynamics measurements from the state of motion of a vehicle and a tire when the tire is subjected to a friction force sufficient for reliably concluding the available maximum friction or at least the minimum value of maximum friction; A) classifying and organizing the road surface properties measurements such that it is possible to find out corresponding or similar road surface measuring results, or their classification or estimation results, from the road surface measuring results; B) measuring the state of motion of a vehicle and a tire and concluding therefrom an available maximum friction coefficient when the tire is subjected to a friction force sufficient for reliably concluding the available maximum friction or at least the minimum value of maximum friction reliably from the driving dynamics measurement data, and storing the resulting maximum friction estimate along with measuring results, or their classification or estimation results, regarding road surface properties measured at the moment of estimation in a database to be used later on; C) using the maximum friction estimate obtained in phase B as a current maximum friction estimate for the road surface until the measuring result of the sensor measuring road surface properties, or its classification or estimation result, is changed; D) classifying the changed measuring result as to road surface properties and retrieving a maximum friction estimate, corresponding to the changed measuring result, or its classification or estimation result, from the database according to a selection criterion including temporal proximity to present, and optionally geographical proximity and identity of a stretch of road comprising the road surface; and E) using this previously obtained maximum friction estimate as a new maximum friction estimate until the measuring result of the road surface sensor, or classification or estimation result thereof, is changed again or a new maximum friction estimate is measured.