From Stevenage, you need to travel west and join the M1 northbound whichever way serves you best. Alternatively head north on the A1 and then west on the A14. Join the M6 northbound and continue along the OLD section of the motorway (through Birmingham) to J10a for the M54.
Alternatively, you can take the M6 toll to T8 where you will need to follow signs for Wolverhampton, and then Featherstone (the A460). Just after the village of Featherstone there is a large roundabout where you can then join the M54.
Take the M54 until it becomes the A5 and continue heading west to Shrewsbury. Once at Shrewsbury, follow signs for the A5 and head north-west for Oswestry, and then north towards Chirk. At Chirk, leave the A5 for the northbound A483. After about 7.5 miles, exit the A438 at the junction with the A541.
At the roundabout off the sliproad, take the fourth exit for Wrexham town centre, and the ground will soon appear on your left.
(Thanks to Paul Jones)
Tools: AA Route Planner | Highways Agency
There should be plenty of parking space available in the North East Wales Institute (NEWI) carpark, which is situated next to the away end and just before the stadium on the left if coming from the A483. Costs £2.
Station: WREXHAM
Served by: ARRIVA TRAINS WALES
Services to: BIRMINGHAM NEW STREET (for PETERBOROUGH)
The easiest option if taking the train is to take a GNER service to Peterborough, change to a Central Trains service for Birmingham New Street, and then take an Arriva Trains Wales service to Wrexham.
The station is literally the other side of the bridge from the Racecourse Ground. Just remember once you come up the station approach, turn right to cross the railway although you should be able to see the ground well enough from here anyway.
Tools: National Rail | tubeplanner.com