The research aims mainly to study the food gap and food security of cereals and meat in Libya through studying of several sub-goals represented in: estimating models of general trends function for some economic indicators of cereals and meat in Libya during the period (1995- 2014), estimating the size of the food gap of cereals and meat, and estimating the coefficient of food security of cereals and meat in Libya. Descriptive and quantitative analysis were used. The study depends on secondary data, which collected from local and foreign sources during the period (1995-2014). The models of the general trend function for economic indicators of cereals group showed that each of the total domestic consumption, and the average per capita consumption, the amount of imports, food gap , daily consumption and periods of coverage of imports for daily consumption from cereals, and found that all of these variables has taken a general trend upward morally statistically significant at the level of probability (0.01) with the exception of a variable of coverage period of local production for daily consumption which took a general trend decreasing, and also did not identify the statistical significance of the variables of domestic production and the period of coverage of production for daily consumption , while the annual growth rates differed according to each variable. The models of the general trend function for economic indicators of meat group showed that each of the total domestic production, domestic consumption, and the average per capita consumption, daily consumption and periods of coverage of production for daily consumption from meat, and found that all of these variables has taken a general trend upward morally statistically significant at the level of probability (0.01) and also did not identify the statistical significance of the variables of imports quantity and the period of coverage of imports for daily consumption , while the annual growth rates differed according to each variable. The study showed that the strategic stock for cereals is estimated at 1396.47 thousand tons and the average local consumption of cereals is estimated at about 1046.1 thousand tons during the study period (1995-2014), thus estimated food security of about 1.3 , so it manes that strategic stock for cereals is enough for more than year and it is related to increasing cereals imports .The study showed that the strategic stock for meat is estimated at about -25.5 thousand tons and the average local consumption of meat is estimated at about 261.5 thousand tons during the study period (1995-2014), thus estimated food security of about -0.2 , it means the state must take different arrangements to increase strategic stock to suffice the consumption requirements from meat is therefore required to take various actions which lead to increase the size of the strategic stock of sugar enough for half of it needs for domestic consumption even come close to the value of suitable coefficient of sugar food security to approach to the food security coefficient  of one. Some recommendations from this research had been discussed to improve Libyan food gap and food security of cereals and meat.