Global concerns for sustainable decarbonization encompass all sectors including the maritime one which comprises inter alias ships and their hosting places, ports. Thus, the decarbonization of inland power grids needs to comply with the maritime one and serve one another in a mutually beneficial way. Within this context, electrification is proven to be the ultimate means, esp. in the case of “shore-to-ship” electrical interconnection (often met as “cold ironing”) which means that the ships while at berth in ports, shutdown their engines and are supplied from the inland Grid, the energy of which is based on environmental friendly Renewable Energy Sources (RES). Major challenges consist of the huge amounts of power a ship needs (varying from 200 kW up to 15 MW) as well as voltage transformation, frequency conversion, and earthing compatibilities. Anyhow, the existing or under-development-related technology is proven to, from the maturity point of view, be readily available. This maturity is enriched and supported via the set of IEEE standards for ships (IEEE 45.1-.8 series developed within IEEE/PES/MSCC), while for ports with ship interconnections (IEC/ISO/IEEE 80005-1/2/3). Moreover, IEEE/EPPC has just launched a new policy document on “smart and sustainable ports” providing the roadmap towards the successful implementation and operation of the decarbonization of ports, while the ICA-22-13 keeps identifying gaps and missing links. Hence, the tutorial aims at presenting the partial objectives of the electrification of ports in terms of planning from the TSO and DSO point of view, designing the high-power networks needed and integrating them into the existing infrastructure of the ports as well as connecting them to the main Grid, operating them via well-trained personnel and using appropriate business models with viable pricing policy of electricity while complying with the free market frameworks. Within this context, the specificities of the emerging challenge of port electric distribution networks in combination with modern ship electric networks will be analyzed and discussed. In all cases, the parallel developments of power grids (smart grids, microgrids, smart metering, flexibility, demand side response, and resilience) will be commended.