The off-road link will begin at Pendeen Crescent in the city, running past Southway Shopping Centre, up to the George Junction and then along Plymbridge Road, all the way to Plymbridge Woods.
New pedestrian crossings for Southway Drive are also detailed in the plans.
Plymouth City Council will hold two public information events on the proposals at the George Park and Ride from 4pm to 7pm on Tuesday 08 January and from 10am to 1pm on Saturday 12 January.
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Councillor Mark Coker, Cabinet member for Strategic Planning and Infrastructure, said: "These proposals represent another step forward in our plans to make walking and cycling a real option for people so that we are able to improve health, air quality, and congestion."
Councillor Jeremy Goslin, Plymouth's Walking and Cycling Champion, added: "This cross city will provide a great route to some of the most beautiful parts of the city and I look forward to hearing the views of the public during the consultation."
The majority of the funding for this project is being provided by the Growth Deal funding from the Department for Transport with further funds from Section 106 contributions.
