The Industrial Internet brings the promise of increased efficiency through on-demand manufacturing and maintenance, combining sensors data from engines and industrial devices with big data analysis in the cloud. In this chapter, we survey the main challenges that the Industrial Internet faces from a networking viewpoint. We especially focus on security, as critical industrial components could be exposed over the Internet, affecting resilience. We describe two approaches, Identity-Defined Networking and Software-Defined Virtual Private LAN Services as potential network architectures for the Industrial Internet.