More than 500 people have put forward names for a £100m bridge linking the Isle of Sheppey with mainland Kent.
The crossing finally spanned the river at the end of September
The crossing across the River Swale will be officially opened next summer and will have four lanes of traffic and carry about 26,000 vehicles a day.
Work began on the 115ft (35m) high bridge in April 2004 and the last piece was dropped into place two months ago.
A competition to name the bridge was launched by the Highways Agency - the deadline for entries is 2 December.
Project sponsor Graham Link said there had been a great deal of interest in the scheme, and an announcement about the new name would be made in early 2006.
The sender of the winning entry will be invited to take part in the ceremony to open the bridge.
At the moment the Isle of Sheppey is cut off from the mainland every time the Kingsferry bridge is raised to allow ships to pass along the River Swale.
The bridge promises to reduce journey times and congestion and support economic regeneration in north Kent.