  We have obtained the first constraint of the parameter space of
Scalar-Tensor-Vector-Gravity using the motion of the S2-star around the
supermassive black hole at the centre of the Milky Way, and we did not find any
serious tension with General Relativity. We used the Schwarzschild-like metric
of Scalar-Tensor-Vector-Gravity to predict the orbital motion of S2-star, and
to compare it with the publicly available astrometric data, which include 145
measurements of the positions, 44 measurements of the radial velocities of
S2-star along its orbit, and the recent measurement of the orbital precession.
We employed a Monte Carlo Markov Chain algorithm to explore the parameter
space, and constrained the only one additional parameter of
Scalar-Tensor-Vector-Gravity to $\alpha \lesssim 0.410$ at 99,7$\%$ confidence
level, where $\alpha=0$ reduces this modified theory of gravity to General
Relativity.
