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In this study, flow and heat transfer of Magnetohydrodynamic squeezing nanofluid flow between two infinity parallel plates have been investigated. The fluid is an equal mixture of Ethylene-glycol and water. This paper discusses the hybrid nanoparticle while Particles are Fe3O4 and MoS2. The nonlinear equations have been solved by Akbari- Ganji's method, and the result is compared by the numerical method and reported in figures. The effect of Harman number, base fluid, squeeze number, and Heat source on flow and heat transfer have been computed. The result shows that the Akbari- Ganji's method and the numerical method are in good agreement. Akbari- Ganji's method can be useful for such problems, and we can see that the maximum difference in velocity profile and thermal profile between AGM and the numerical method is less than one percent. The velocity profile reduced by an increase in squeeze number and Hartman number. The thermal profile raised with an increase in squeeze number, but it decreased with increasing in Hartman number and heat source parameter.