Train firm Southeastern is advising customers to plan ahead to make sure they get home early to beat the weather.
With snow forecast over Canterbury and east Kent tonight (Monday), the firm says there may be disruption to services.
The Met Office expects temperatures to hit zero Celsius in the city at around 5pm today and continue to drop steadily overnight.
Any precipitation will turn to snow.
A Southeastern spokesman said: “Falling temperatures can lead to frost and icy conditions that can cause issues for all modes of transport.
“On the railway, ice build-up causes problems for moving parts like points, which move trains from one track to another, and can insulate the conductor rail – or third rail – which prevents our trains drawing power.
“If this happens, it will not be safe for us to run services on affected routes.”
Network Rail, which runs Britain’s railway infrastructure, operates special trains fitted with de-icing fluid, snow ploughs, hot air blowers and steam jets to melt ice.
So-called empty ghost trains are also run on major routes in an effort to remove ice from rails and some passenger trains are equipped with heaters to ensure that rails remain usable.
Below zero temperatures on Tuesday, Wednesday, Thursday and Friday could mean more snow throughout the week – and chaos on Britain’s roads and railways.
The cold weather is being blown into Britain from Russia. A wind chill factor will mean that during the day it will feel like -10C to -15C and some parts of the UK could see up to 7ins of snow.
Southeastern added: “If the ground is icy underfoot, we advise you to check before you travel and to take extra care.”
Up to the minute information on trains is available via the National Rail Enquiries website and Southeastern’s Twitter feed @Se_Railway.