Foreign Minister Murray McCully says the main hospital in the capital Honiara is stretched as the islands deal with severe floods and two earthquakes.
There will be two teams of 10 medical personnel on separate rotations, the first leaving on Tuesday.
Components for the bridge will be shipped over during the next few weeks.
Mr McCully says it will be used to help maintain the critical link between the airport and Honiara’s city centre.
The latest aid brings New Zealand’s contribution to the relief effort to about $NZ2.6 million ($A2.43 million).
Monday’s magnitude 7.4 quake struck just after midnight.
It followed a magnitude 7.6 quake on Sunday.