The incident resulted in a power outage in the area as a man stood and sat on an electrical box. Access is limited to ferry passengers only.
A Hampshire Police spokesman said: “We received a call at around 6.40am this morning due to concerns for the welfare of a man at Town Quay ferry station.
“Emergency services are currently on the scene.”
They added: “We have asked (Red Funnel) to turn off the power for safety reasons.”
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Red Funnel released a statement saying it experienced a power outage at Terminal 2 as a result of the incident. Power was lost to 370 properties in the area.
A Red Funnel spokesperson said: “We are currently experiencing a power outage at our Terminal 2 in Southampton due to an ongoing incident with police.
“Our ferry services continue to operate and Red Jet is operating as scheduled, but some facilities are temporarily unavailable, including the cafe, ticket office and customer toilets in Terminal 2.
“Tickets can be purchased online or at Terminal 1 and pedestrians can be dropped off outside Terminal 1, but vehicle access to the rest of Town Quay is limited. Quayconnect remains open and serving customers from the Platform Tavern stop.
“We would like to thank our teams on the ground for assisting customers and keeping services running smoothly during today’s disruption.
“Thank you for your patience as we work to restore normal conditions.