Ohmic materials are those that obey Ohm's Law, meaning their current-voltage (I-V) relationship is linear and consistent across different voltage levels. Non-ohmic materials, on the other hand, do not follow this law; their I-V characteristics can be nonlinear, meaning that the relationship between current and voltage can change depending on the applied voltage or current. This distinction is critical when analyzing electrical circuits and understanding how different materials respond under varying conditions.