Officers stopped the grey Cayman GT4 alongside another vehicle with tinted front windows.
The action came after officers were called to remove debris following a crash on the M27 earlier this afternoon.
In a tweet from Hampshire Roads Policing Unit, a police spokesperson said: “Alone with collecting more debris from insecure loads on M27 today these two vehicle caught our attention.
“Front window tints are easily measures and will result in a fine/points along with removal of tints.
“Small number plates won’t help identify your vehicle if stolen.”
The standard size of a number plate in the UK is 520mm by 111mm.