If you are not hiring a car or booking a private airport transfer, then the following transportation options are available to you to and from Murcia Airport:
Buses run from Murcia Airport to the centre of Santiago de la Ribera. From Santiago de la Ribera you can catch bus connections to Campoamor, Cartegena, Murcia and Alicante. www.latbus.com
There is an easy to find taxi rank conveniently located outside the main terminal building at Murcia Airport.
Taxis operate on a fixed-fee basis so you can find out the cost of the fare before you set off.
Official taxis are white in Murcia, display the taxi sign on the roof and generally have a red vertical stripe on the side.
Always check the fare with the driver before your journey.
Although there is no train station at Murcia Airport, the nearest mainline line railway station is only 10km away in Balsicas-Mar Menor.
From there you can catch trains with connections to Murcia central station and other local stations.
Further afield you can travel to Madrid, Valencia, Tarragona and Montpellier. www.renfe.es