The home side's first try saw powerful loose forward Alberts crash over the line after the Sharks had mauled the ball close. The second came when wing Mvovo intercepted a Barrett pass before speeding away.
The Hurricanes had Adam Hill yellow-carded a minute into his debut, after coming off the bench in the second half, when he lifted Mvovo into the air in a tackle and failed to bring him down safely.
The Sharks have now won their first two Super Rugby games under new coach Jake White while for the Hurricanes this was their season opener.
They play the Stormers on Friday while the Sharks have a bye next week.
(Reporting by Nick Said; editing by Josh Reich)
