After taking up his post in 2007, Bheenick managed to ease rising inflationary pressures, introduced an independent monetary Policy Committee and helped develop an Islamic finance industry.
The governor said the decision to keep him showed the government was happy with his policies, but analysts said it did not change the worsening economic outlook given the nation's heavy reliance on the troubled euro zone for tourists and trade.
The island state is seeking to cut dependency on the euro zone, traditionally the mainstay for the Mauritius tourist industry and a major market for its textiles, sugar and services industry.
Mauritius cut its 2013 growth forecast in March to 3.5 percent from 3.7 percent previously, citing deeper contraction in the construction industry. The economy grew 3.3 percent in 2012.