The first dinghy was seen at 3.30am on Thursday and the second appeared about five hours later.
Each one carried seven people, although it is unclear whether there were any children among them.
Kent Police said immigration enforcement officers were dealing with the group. They were suspected of trying to enter the country illegally.
Earlier, French officials said 11 people were pulled from boats in the Channel as they tried to reach Britain.
The group’s boat was seen in distress near the French town of Wimereux and four of them were taken to hospital suffering from hypothermia. The others were handed over to French border police in Calais.
The group spotted off the Kent coast did not require medical treatment.
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