This is the highest proportion of homeowners predicting property price growth since the first half of 2010.
Homeowners were also more bullish about how much they expect average house prices to rise by over the next six months.
At the end of 2011, owners expected prices in their local area to increase by 2.2% on average. Over the past quarter this has risen to 3.9% - again the highest price growth expectation in almost two years.
Sentiment towards mortgage financing also improved with an increase in the number of property owners reporting that it was now easier to secure a mortgage than it was at the end of 2011.
Nicholas Leeming, business development director at Zoopla, said: “The property market has been in need of some positive news of late as many indicators have pointed toward stagnant prices. These results show that homeowners now feel a lot more positive than at the end of last year and this confidence could bolster transaction and activity levels as we move further into the year.”