"I call for democratic and dignified protests," President Josipovic said on Saturday after the official opening of the international Kodokan judo seminar in Zagreb.
In response to questions from the press, Josipovic condemned an attack of protesters who spat at spokesman Mladen Pavic in Zagreb on Friday.
"It is of exceptional importance for democracy and for all which protesters are looking forward to that protests are peaceful and in a dignified manner with clear messages sent out to all of us who are office-holders," the Croatian president.
He said that messages sent out at the protest rallies in recent days were inconsistent.
There have been radical right-wing messages, anti-European and also pro-European and some left-of-centre messages," Josipovic said adding that a majority of protesters have been ordinary people with no political inclination, who want to live well, work and earn bread for their families, which he said was the most important message from rallies.
He deplored personal insults adding that the line between the private and public sphere should be drawn.
The president welcomed the Kodokan Kata seminar as an important event for Croatia which is hosting some 400 judo practitioners and teachers from more than 20 countries.
Zagreb thus hosts the first event of this kind on European soil.