Backstrom scored the winning goal in the shootout to lead the Washington Capitals to their first win in San Jose since 1993.
Chris Brown, who was recently called up, recorded his first career goal to tie up the Sharks and force overtime.
Eric Fehr was given credit for the first goal of the game as the Caps took the lead.
The Capitals travel to San Jose to take on a Sharks team that they haven't beaten on the road since 1993. Watch live now on CSN.