This paper presents results of compressive strength tests for Portland cement mortars and mortars with addition of ground granulated blast furnace slag (GGBFS). Mortars were modified with usage of four different hardening accelerating admixtures. Compressive stress tests were conducted after 12 hours up to 360 days of curing. Effectiveness of those agents is higher for mortars made of cement with addition of GGBFS up to 28th day. After this term some of those admixtures have profitable influence also. It is shown that not every hardening accelerating admixture cause decline of long-term compressive strength of mortars made of some types of cement. Mortars with addition of GGBFS obtains compressive strength after 7 days of curing close to its final strength. It is similarity to CEM I 52,5R mortars without modification by admixtures (with notice to scale of phenomenon).