Wales’ transport secretary Ken Skates said he met with Stena representatives and “sought their reassurance on the integrity of the port and services”.
The port operates Terminal 3 and Terminal 5.
However, Terminal 5 was closed following an incident in December as one of the ferries docked in the port.
Poor weather conditions delayed underwater surveys, with repair work expected to get underway this month.
In the meantime, both Stena Line and Irish Ferries were sharing Terminal 3, after altering their timetables to accommodate both services running from a single terminal.
But with Terminal 3 out of action, it meant no ships were able to dock.
The Stena ship Estrid was travelling from Dublin at 04:30 on Wednesday and was due to dock at 08:00.
The ferry company said all passengers and freight operators “disembarked as normal”.
A Stena spokesperson said: “A berthing incident occurred on Wednesday 7 January 2026 as the Stena Estrid berthed at Holyhead Port.
“The incident is currently being investigated”.