People living in the "fibrehood" area of Hanover Heights are among the first to use the service. They are reporting speeds of about 700Mbps (megabits per second). The product poses a challenge to established cable companies which typically charge more money with slower connections.
Google says it hopes its package will persuade people to spend longer on the web and try out new services. However, it will need to convince consumers that they would benefit from access to such fast speeds.
In a blog post, Google Fiber's director of service delivery Alana Karen promised a "great service" for residents in Kansas City - which straddles the border between the states of Kansas and Missouri.
Google is able to make the foray into broadband installation because it has been buying up so-called dark fibre from telecoms firms in the US in order to link up its data centres which are dotted around the US.
The service will be delivered mainly by overhead cables It has also been investing in cheap fibre that has been laid by companies that have subsequently gone bankrupt before completing rollouts. The service offers Fibre to the Home (FTTH) and is delivered via overhead cables on the poles that also bring power to homes.
Most analysts agree that the service has been competitively priced. The gigabit service is being offered at $70 (£44) per month with no installation charge. This package also comes with 1TB (terabyte) of storage on Google Drive.
Source: BBC News