Mesic was speaking to reporters before the closing of a session of the General Assembly of the World Academy of Art and Science at Zagreb's Westin Hotel.
"There can be a robbery or two, or a murder with the perpetrator remaining unidentified, but this is getting out of hand," Mesic said when asked whether people in Croatia could feel safe in view of an increasing number of robberies.
"The Ministry (of the Interior) and the Parliament should respond," he added.
Asked to comment on the Government's performance over the past two years, Mesic said that "some ministers are quite up to the mark, while others are not, but still have two years" to improve their performance.
"Croatia's foreign policy is well run and the country is going in a good direction, but we have not yet fully set Croatia in motion as was one of the Government's election promises," the president said.
Commenting on criticism that he did not attend the ceremony commemorating the fall of Vukovar, Mesic said that he "could not be physically present in two different places at the same time."
"At that time I was with the German president (Horst Koehler), (former German foreign minister) Hans Dietrich Genscher and (former British foreign secretary) Douglas Hurd, and those talks were scheduled beforehand," Mesic said, recalling that he had sent his delegation to Vukovar.