In the late 19th century it was decided that electricity was made up of positively charged particles. As such it was thought that current flowed from the positive terminal of a battery to the negative. This is called conventional current.
It was later discovered that current was actually the movement of negatively charged parcticles (electrons), moving from the negative terminal of a battery to the positive. This is called electron current or electron flow.
We still tend to use conventional current since it doesn't really matter which way the current flows in most cases.