Birth rate
According to the CIA's "The World Factbook", the country with the highest birth rate is Niger at 6.49 children born per woman and the country with the lowest birth rate is Taiwan, at 1.13 children born per woman.
Demographics of the world
As of 2009, the average birth rate (unclear whether this is the weighted average rate per country [with each country getting a weight of 1], or the unweighted average of the entire world population) for the whole world is 19.95 per year per 1000 total population, a 0.48% decline from 2003's world birth rate of 20.43 per 1000 total population.