Passenger numbers at the airport are forecasted to rise from 3.3 million this year to nine million by 2050.
To improve the local road network, three options have been proposed.
The £75m link road would run from the A65 along the eastern edge of the airport before joining the A658 to the north.
A second option would see a new £50m route following the same initial path from the A65 running between Rawdon and Horsforth but runs to the south west of the airport before joining the A658.
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A third option involves a £15m upgrade of the existing A65 and A658 around Rawdon and Yeadon to the airport, with junctions improved and roads widened.
Councillor Richard Lewis said: "The response to us releasing the outline details of the three options in September sparked a great deal of debate so now we want as many people as possible to take part in this consultation and tell us what they think.
"Leeds Bradford Airport is a key part of our current and future city and regional economy, so it is essential we make the access to and from it the best we can while also respecting and protecting the needs of the local communities, so the more people who take part in this consultation the more effective we can be terms of making the right decisions."
As part of the consultation, public drop-in sessions will take place as follows:
• Leeds Civic Hall, 24 November 3-8pm.
• Horsforth Mechanics Institute, 25 November 1-4:30pm.
• Horsforth St Margaret's Parish Centre, 27 November 3-8pm.
• Greenacre Hall, Rawdon, 28 November 12pm-3pm.
The consultation will run from Monday, 23 November to Sunday, 24 January 2016.
(LM/MH)
