For centuries, people wondered why the night sky was not filled with stars. Then came along the "Big Bang" and this model appeared to provide the answer. However, the Big Bang did not happen. It is a misinterpretation of observations. For more, see The Big Bang's Big Assumption.
In reality, the universe is infinite and eternal. However, just because it is infinite does not mean the universe must be filled with so many stars that the night sky is filled completely with them.
Firstly, not all light is in the visible light spectrum. This reduces the amount of sources that fill the night sky drastically.
Second, gravitational lensing causes light to travel in larger and larger Figure-8 orbitals. Critically, light from sufficiently distant sources does not travel to Earth because it is influenced by gravity of larger and larger objects. Sufficiently large objects are "black holes", where visible light emitted therefrom does not reach Earth due to gravitational lensing.
The Big Bang did not happen. All observations demonstrate that the universe is infinite and eternal, produced by the law of gravity alone and nothing more; even our night sky is explainable by the Infinite Universe.