Carbon nanotubes (CNTs) became a fascinating nanomaterial for biomedical field application where non-soluble forms also called “assemblies” have found the great eventual use for electrical scaffolds manufacturing and electrodes fabrication. Electrically conductive materials with biocompatible properties are in the great importance for neuronal tissue engineering, registration of evoked potentials and electrical signals transmission. Despite the numerous studies, there is still a big gap in realizing of these scaffolds’ geometry impact on cells physiology. Thus, in our work we address the issue and study regular films made of CNTs through chemical vapor deposition, flat ribbons and twisted 3D shaped fibers for their effects on cells viability. After 1 and 7 days of incubation with films, by application of standard Alamar Blue test we revealed that Neuro2A cells have the same number of alive cells in the control (95±7%) and in the experimental group (100±10%). LDH-assay allowed us to compare amounts of dead cells; we found that number of dead cells is comparable for the control group (27±5%) and for the experimental cells (18±5%). We correlated the rigidity of materials surface, cells attachment and changes in morphology after 1 day of incubation. Cells were actively adhered at the scaffolds made of fibers and films. Comparing with them, ribbons showed much worse adhesion of cells because of the inhomogeneous height revealed by profilometry, so the cells roll off to the lateral sides of ribbons. One of the most essential results is the observation of Neuro2A cells directly attached to a fiber characterizing by a 3D cylindrical shape. Summing up, the present work demonstrates the absolute safety of non-soluble forms of CNTs for in vitro models and shows cells adhesion on platforms based on CNT assemblies with different geometries that opens new perspectives of the material application in biomedicine.