If landing at Valladolid airport will reach the Auto-Res bus station through bus service from the airport (Linecar). Schedules available buses from Valladolid airport are available at the following link:
When you're at the station Auto-Res bus you can catch one of the frequent buses leaving to Salamanca. The price is about € 10 for a single ticket and 19 by one round. For more information on schedules and fares or to make a reservation you can access your website:
If you are at the airport, the most direct way to get to the train station is by taxi, which should cost around € 15. It takes about 15 minutes to reach the city center.
For updated information on timetables and prices you can access the website of Renfe: