The 49-year-old will replace Graham Westley, who led Stevenage to the League Two playoffs this campaign.
Boro, who finished sixth in the ‘regular’ season, failed to get the better of Southend United in the playoff semi-finals.
This will be the former England international’s first managerial job, having been at West Ham as an attacking coach for the past year.
Sheringham is regarded as one of the best strikers to have ever played in the Premier League and scored an injury-time goal in the Champions League final in 1999.
The former West Ham striker is a well-known figure in football, and his arrival at Broadhall Way will certainly increase the profile of Stevenage.