From Lienz across the cycle lane to Leisach and for about 900 metres along the federal highway to the southwest all the way to the turn-off to Pustertaler Höhenstraße.
Follow this (partly quite steep) mountain road until you get to Bannberg, then follow the road sign towards Hochstein across the frequently quite steep tarmac toll road to the car park Hochstein (1,980 m).
The last leg leads across a gravel path of about 400 metres to Hochsteinhütte (2,025 m) that is perfect for a stop. Enjoy the magnificent view onto the valley floor and a splendid view onto the surrounding mountains. The way back is the same route in reverse.