The article presents mathematical models (MM) formation process for magnetometric intrusion detection systems (MagIDS) with either point sensing elements (SE) based on magnetoresistive detectors or distributed SE based on helical convertors. MM development is carried out within the algorithmic technique, based on the SE performance physical processes decomposition and IDS functioning abstract model compilation. The developed original models makes intruder induced signals numerical calculations for arbitrary straight-line paths possible. Numerical simulation technique implementation to the developed models allowed us to estimate implicit tactical characteristics of the MagIDS being investigated.