It is probably best to start off with a definition of a glass ceiling. A glass ceiling is an invisible barrier that does not allow certain people - usually minorities and women - from rising the corporate ladder irrespective of their talents, achievements, and aptitude.
Based on this definition, I can see why you ask your question. Racism still exists in America. Often times people do not acknowledge it, but people still make assumptions based on the color of a person's skin. There are many stereotypes that basically say that African Americans are less qualified and are there only because of Affirmative Action. For example, recently, there have been many discrimination battle that African Americans have waged against many companies. African Americans note that they are given less promotions, paid less, and given the worst assignments. Some companies that are being in question are: Texaco, Coca Cola, and American Airlines.
With all this said, it must be admitted that there is hope. Many African Americans have broken through the glass ceiling, such as Kenneth I. Chenault, the CEO of American Express.