The YCo2-xMx systems with M = Cr, Ti form solid solutions having MgCu2 -type structure in the composition range x less than or equal to 0.4 for M = Cr and x less than or equal to 0.2 for M = Ti. Magnetic measurements were performed in the temperature range 4 K - 700 K and fields up to 7 T. At low temperatures, the magnetic susceptibilities, for compounds with Ti, follow a linear T-2 dependence. At temperatures higher than a characteristic value T*, a Curie-Weiss type behavior is evidenced. Similar behavior, at high temperatures, was evidenced in YCo2-xCrx system. The experimental data were analysed in spin fluctuation model. Band structure calculations were also performed. The magnetic susceptibilities, at 4 K Of YCo2-xTix, as well as their temperature coefficients, in the low temperature range, are reasonable described by using the computed density of states.