Why Did League Of Nations Fail Resolve The Conflict In The World War 2?

I think you are somewhat confused.  The League of Nations failed to resolve the conflict brought by World War I.  This failure, coupled with a horrendous economic depression that affected much of Europe as well as the United States, left the world ripe for the deeper conflict that was to come in World War II.

It is all too common to view Germany's part in World War I as that of the all-around "bad guy" and the involvement of Britian, France, and Russia as the "good guys."  This is unfortunate.  All were spoiling for war, but none more so than France.  Yes, France.

When the Archduke of Austria-Hungary was assinated and the government of Austria-Hungary was unsure how to correctly handle the situation, France was behind the scenes with their ally, Russia.  France was begging Russia to go to war against Austro-Hungary.  Following this would be a chain of events that would lead to Germany honoring its alliance with Austria and to also declare war on Russia.  This would pull in Russia's ally, France.  The French government could not wait to go to war with Germany.   Why?

Germany soundly defeated France in a "minor" war several years earlier, in the 1870s.  The war was short and decisive.  Germany quickly took control of the Alsace-Lorraine region between France and Germany (an area that both countries had laid claim to based on the population that inhabited it).  France wanted revenge.

France had taken much care in improving its military in the years leading up to World War I, but not enough.  Though out manned and, only in numbers, not quality, out-gunned, Germany held its own quite well in World War I.  It was not the destroyed rag that historians in France and Britian would lead readers to believe, for, not until the United States entered the war did France and Britian see the successes they were claiming, up to that point, to actually have.
(Had not the United States entered World War I, the result would likely have been quite different.)

Also, it is significant to say that France and Britian together were trying to greatly disrupt Germany's economy in the years leading up to World War I.  In fact, they wanted to dismantle it.  Is this the act of a "good guy"?  (Too often we get caught up in viewing one side as all bad and the other as all good.  Each had its ups and downs in virtue.)  After World War I, France and Britian got their wish.  The Great Depression only added to the humiliation.  In a way, the "good guys" created just the right conditions in Germany for Adolf Hilter to rise to power.

After World War II, what did the Allies do?  They learned from the mistakes of World War I and did everything they could to rebuild Germany, brick by brick.  Of course, Germans, being resilient and industrious people, were already doing this once the fighting had passed by, but the Allies helped them along.  The United States and Churchill's Britian saw that it was their duty to protect post-war Germany from the communist U.S.S.R.

The conflict was ultimately resolved, rather symbolically, by the tearing down of the Berlin wall and the reunification of Germany.  Germans will never let themselves forget the actions and attitudes of their forebears in World War II.  But Germans realize that deception, born by evil, can happen to any country.  We, the people of this earth, would do well to remember that lesson.

The League of Nations had good intentions, but no teeth, so to speak. It had no power to enforce their programs or sanctions.  It had no military.  One of its goals was disarmament, but members were reluctant to comply without some guarantee of protection.  Since the League had no military force of its own, it was unable to make any such guarantees.  The organization eventually failed due to its ineffectiveness.