How do I get in touch with KLM service of KLM put in their best efforts to assist and guide the passengers at the airport As well as on flights. If you have a query or a special assistance service request, you can reach the KLM customer service, which works 24/7 to help the passengers of the airline. After the completion of the ticket booking process, if you search on the official website of KLM, you will find several means to connect with customer service.