Totally. There are many countries, such as France, who use Nuclear power for a majority of the electricity needs. It is cleaner than coal and produces more power and much more consistently than solar and wind.
I think a diversified power system is best - where you use wind, solar, coal, water, nuclear, and many other sources to generate power.
For those who think it isn't safe, look at how the US Military uses it. They put nuclear reactors on all the new Aircraft Carriers and Submarines, as well as other ships. Obviously it is safe and effective if the military is choosing to use it over other options.
A lot of new technology is available these days that can make nuclear power plants the best source of power if people will stop being paranoid about it.