Bring water to boil in large pot over high heat. Add one forth of salt. Add chopped broccoli, reduce heat to medium low, cover and simmer for 15 minutes or into tender, drain.

In blender, combine drained broccoli and chicken broth, blend until smooth.

In large pot, melt butter, add remaining salt and saute' onion until tender, about 5 minutes. Sprinkle flour over onions, stir and cook another 3 minutes until onions are well coated and fragrant.

Slowly stir in milk, heat just until boiling, stir constantly. Turn down heat and simmer for 1 minute.

Pour broccoli mixture into thickened milk, stir well. Serve warm, enjoy!