"It is hugely regrettable that we've seen these incidents occurring as a result of industrial action in France. We are putting additional resourcing into the port of Dover to enhance screenings and detections there so that we're looking at this on both sides of the Channel," Brokenshire told the BBC.
According to the minister, French authorities are increasing policing to deal with the issues and will be keeping in close contact with their British counterparts.
On Tuesday, around 400 workers took part in a strike in the French port of Calais over proposed restructuring that would cut jobs. The strike disrupted all services to and from the UK port of Dover, as well as Eurotunnel and Eurostar operations.
Thousands of undocumented migrants have arrived to Calais, primarily from Eritrea, Albania, Afghanistan, Sudan, Egypt and Syria, many of whom are fleeing violence in their home countries and are seeking to reach the United Kingdom.
A report by Britain’s law enforcement National Crime Agency (NCA), released on Tuesday, revealed that the number of undocumented migrants attempting to enter the United Kingdom has more than doubled over the past year.