In the late 1990s Steinhauer was one of the leaders of the national team, peaking during the 1997 EuroBasket. At 8 games during this tournament he was amassing 17.1 points on an average, which was the 2nd highest result in the Israeli team (behind only Oded Katash) and 5th highest among all tournament players, and added 6.4 rebounds per game. Overall, he played 13 years with the Israeli national team. Steinhauer was considered one of the best centers in Israeli team history for his ability to play under the rim against more athletically endowed centers of other teams, his refined mid-range shot and willingness to hit an occasional 3-pointer. At the same time he was not one of the most hardworking players and only put up mediocre defense.