The article is devoted to the estimation of econometric models of the Latvian economy. The Klein's simplified macroeconomic model of the Latvian economy is discussed. The endogenous variables are consumption, net investment, gross domestic product (excluding net exports and additions to reserves). An exogenous variable is the government spending. The model is just-identified, and Two-stage least squares (2SLS) method provides consistent estimates of the parameters of a structural equation. The modified Keynеsian model was also considered, where the lagged variable - gross domestic product of the previos period is presented. It is proved that the model is over-identified, and the Two-stage least squares (2SLS) method provides estimates of the parameters of a structural equation. We have estimated the models with annual time-series data of the Latvia economy for the years 1995 through 2011 (at basic prices in 2000).