Method for notification transmission in a distributed applications data processing network from an emitter (10A, 10B, 10C, 10D, 10E) to at least one receiver (14A, 14B) via a notification service with which the or each receiver (14A, 14B) is registered, in order to filter the notifications according to a predetermined test criterion, said distributed applications data processing network including other emitters (10A, 10B, 10C, 10D, 10E), the emitter being associated with a data processing unit and the other emitters being respectively associated with other data processing units, the emitter and the other emitters being designed to send each other at least one alarm representing a failure of a determined level on the data processing unit or on one of the other data processing units, the method being characterised in that: - the emitter (10A, 10B, 10C, 10D, 10E) sends a notification to the notification service, said notification comprising a set of at least two values, the set of values including a first value showing a severity level of a failure encountered on the data processing unit, the set of values further including a second value showing the highest severity level of a failure of a determined level encountered by the data processing unit or the other data processing units; - the notification service checks, for each registered receiver (14A, 14B), whether said set of values meets said predetermined test criterion associated with said receiver (14A, 14B), said predetermined test criterion comprising a comparison between the first value and the second value to determine whether the first value represents a severity level of a failure that is higher than the severity level shown by the second value; and - the notification service sends said notification concerning said emitter (10A, 10B, 10C, 10D, 10E) to said receiver (14A, 14B) if the predetermined test criterion is met, said notification service not sending said notification concerning said emitter (10A, 10B, 10C, 10D, 10E) to said receiver (14A, 14B) if the predetermined test criterion is not met. - the emitter (10A, 10B, 10C, 10D, 10E) sends a notification to the notification service, said notification comprising a set of at least two values, the set of values including a first value showing a severity level of a failure encountered on the data processing unit, the set of values further including a second value showing the highest severity level of a failure of a determined level encountered by the data processing unit or the other data processing units; - the notification service checks, for each registered receiver (14A, 14B), whether said set of values meets said predetermined test criterion associated with said receiver (14A, 14B), said predetermined test criterion comprising a comparison between the first value and the second value to determine whether the first value represents a severity level of a failure that is higher than the severity level shown by the second value; and - the notification service sends said notification concerning said emitter (10A, 10B, 10C, 10D, 10E) to said receiver (14A, 14B) if the predetermined test criterion is met, said notification service not sending said notification concerning said emitter (10A, 10B, 10C, 10D, 10E) to said receiver (14A, 14B) if the predetermined test criterion is not met.