  This paper aims to put constraints on the parameters of the Scalar Field Dark
Matter (SFDM) model, when dark matter is described by a free real scalar field
filling the whole Universe, plus a cosmological constant term. By using a
compilation of 51 $H(z)$ data and 1048 Supernovae data from Panteon, a lower
limit for the mass of the scalar field was obtained, $m \geq 5.1\times 10^{-34}
$eV and $H_0=69.5^{+2.0}_{-2.1}\text{ km s}^{-1}\text{Mpc}^{-1}$. Also, the
present dark matter density parameter was obtained as $\Omega_\phi =
0.230^{+0.033}_{-0.031}$ at $2\sigma$ confidence level. The results are in good
agreement to standard model of cosmology, showing that SFDM model is viable in
describing the dark matter content of the universe.
