"Greece does not have to worry. Our country is not a target because of historical reasons but we must stay on the alert as many people are passing through Greece and we are also cooperating with other governments. Neither terrorist cells nor actions that should bother us have been identified," Toskas said in an interview with the local Skai broadcaster late on Tuesday.
Last November's terrorist attacks in Paris mobilized the Greek government to take steps to protect the foreign diplomatic missions in the country, he added.
In the wake of the deadly blasts in the Belgian capital, the Greek Cabinet discussed the introduction of additional security measures in the country.
"We immediately started to consider urgent measures that must be taken but not because of the greater danger we are facing but because of the terrorist attacks [in Brussels]," Toskas stressed.
On Tuesday, at least 31 people were killed and some 270 injured in two bomb blasts in Brussels' Zaventem airport and an explosion in the city's subway. The Daesh jihadist group, which is outlawed in many countries, including Russia and the United States, claimed responsibility for the attacks.