A second half equalier from Stevenage midfielder Tom Pett forced the Sky Blues to leave the LAMEX Stadium with just a point.
Marc McNulty gave Coventry the lead midway through the first half when ended a goalmouth scramble by firing past Joe Fryer into the Boro net.
Injuries to Jodi Jones and Liam Kelly forced Mark Robins into making changes just moments before the home side drew level through Pett.
The draw means the Sky Blues have climbed to seventh in SkyBet League Two.
City's Ryan Haynes had the evenings first sight at goal. The left-back has not found the net since his return from injury but almost changed that after some nice link up play with Liam Kelly found him inside the area, only to find the side netting.
Max Biamou however did find a way past Joe Fryer two minutes later. The Frenchman brought the ball down well with his body before finding the far corner with preicsion, only to find his goal ruled out for a foul on Jack King moments earlier.
Mark Robins' side took the lead for real midway through the second half. A goalmouth scramble ended with McNulty in the right place and at the right time to bundle the ball home from close range. Plenty ran away claiming it, but it was the former Portsmouth man who has given City had the lead.
The second half started with the same intensity. Biamou again found himself in with an opening infront of goal but after another altercation with King, ended up on the deck and with the referee waving for the number nine to get up.
Jodi Jones was instrumental in City's victory at Lincoln, and had a golden opportunity to set up Jordan Shipley to double Coventry's lead moments later. The 20-year-old was sent charging up the touchline by McNulty and did not see Shipley and Biamou free in the penalty area until it was too late. A let off for Boro.
That would be Jones' last impact, however. The former Daggers man was stretchered off with 25 minutes to go after landing badly on his left knee, making him City's second injury of the evening after Callum Maycock had to replace Liam Kelly early on after he pulled up.
Even without Jones, the Sky Blues were still threatening. Biamou looked a danger all evening, forcing a strong save down to Fryer's right-handside from just inside the area.
Stevenage had not troubled Lee Burge an awful lot on the night, but that started ot change in the final twenty minutes. A scramble in the area, not too disimilar to the one that gave Mark Robins' side the lead fell to Ronnie Henry in the area but Burge reacted fastest to dive on the ball.
Boro fans would not have to wait too long to be level though. A momentary and rare lapse at the back gave Tom Pett a look at Burge's goal for the first time and the 25-year-old made the most of it, rocketting the ball in off the crossbar to draw his side level and earn them a vital point in League Two.
Goals: McNulty (22'), Pett (75').
Yellows: Shipley (30'),
Coventry City XI: Burge (GK), Willis, Davies, McDonald, Haynes, Doyle, Kelly (Maycock 21'), Shipley, Jones (Vincenti 64'), McNulty, Biamou
Subs: O’Brien, Stokes, Hyam, Dev Kelly-Evans, Ponticelli
Stevenage XI: Fryer (GK), Smith, Martin, King, Wilkinson, Beautyman (Samuel 60'), Pett, Henry (C), McKee, Godden (Whelpdale 67'), Newton
Subs: Day, Franks, Conlon, Vancooten, Wilmot.