Do Buddhist Believe In A Higher Being?

It depends on what you mean by "a higher being".  

A person who becomes enlightened -- meaning ridding himself or herself of all desires,, aversion, ignorance, conceit, and every other negativity of the heart or mind --  is higher than any unenlightened being, even any god.

The Buddha didn't argue against some beliefs of the religious culture in which he lived. People in that region of India in those days believed in a creator deity named Brahma Sahampati and many other gods who wield various levels of refinement and power.  These greater and lesser gods were incorporated into the background of the Buddha's teachings: They remain subject to the same conditions that plague every other sentient being, such as impermanence and suffering from ego.  They age, and when the good karma that made them powerful wears off, they die (to be reborn in a lower plane).  And, unless they embraced the Buddha's teachings and practised wisely, they are not enlightened.

Some schools of Buddhism honor higher beings called "Maha Boddhisattvas," compassionate god-like beings who could become enlightened but choose to delay indefinitely in order to continue helping human beings.  

Buddhists do not believe that there is a god who can save people from mental suffering; it is an inside job.  Each person has to choose to make efforts to improve his or her conduct and purify his or her own heart/mind..