A system for monitoring and private assistance to people includes sensors that detect descriptive parameters of environmental conditions, and sensors and/or devices that monitor a person's position and, optionally, her physiological parameters. In particular, the system includes sensors and/or devices that monitor a person's position at the topological level and generate tracking signals in time and within a digital topological model of the environment; sensors that monitor posture and/or its variations in time and that provide status signals corresponding to predetermined postures and/or signals, indicating posture variations in time, which are processed by a logic control unit and software that evaluates position and posture and its variation in time and that classifies the signals according to predetermined categories of motor and/or postural activities, and that performs a comparison between detected parameters and predefined patterns of execution.