The deal was approved by the European Commission in September this year, and Vodafone now holds 76.57% of the share capital in Kabel Deutschland.
The takeover is expected to allow Vodafone to expand its offering in the European market and deliver high-speed broadband internet over its own network, rather than paying fees to use the infrastructure of its rival, Deutsche Telekom.
According to an official statement, the offer is subject to the full terms and conditions to be set out in the offer document.