Security for Taoiseach Enda Kenny, as well as senior Cabinet Ministers, has been tightened.
The move is in response to alleged threats against them in recent months.
The Taoiseach has been advised to vary his route to and from Government Buildings every day, while Ministers will now have to give gardaí details of their weekly diaries.
Extra measures could also be extended to some members of the gardaí, after it emerged a female garda was followed to her home last week.
Security for President Michael D Higgins is also under review.
The move comes after video footage emerged of protesters heckling and swarming around a car carrying President Higgins as he left a school in Finglas.
President Higgins, 73, was called a "little midget parasite" and "traitor" as the group convened to protest his signing into law the Water Services Bill in December.