i think u can add the sea salt. its rich in trace elements and also cheaper.

http://wellgal.com/7-ways-add-essential-trace-minerals-drinking-water-health/

sea salt and sugar

You could of course not distill the water in the first place ;-) But I assume there may be a good reason to do so - contamination with heavy metals / arsenic / other nasties? I would actually not worry too much about adding things back in; if you look at some of the bottled waters on the market, they are almost as devoid of trace elements as distilled water.

Thanks to Dr. Sukumaran and Dr. Solari.

@ Dr. Marlina Elburg,

 You are right that there is no other way to remove the contamination without distillation as the water might contain arsenic and some other heavy metals. Now isn't it important or required to add trace elements if people are consuming distilled water for long period of time? What about the minerals required for our health?

Most 'minerals' (=ions of certain elements) are contained in greater quantities in solid food than in water. The main thing that people worry about regarding drinking distilled water is the possibility that it may draw ions out of your body by osmosis. If you're worried about that, add whatever (non-toxic) salt you can find. As other contributors suggested, table salt will do.

Thanks a lot.....

Distilled water does not taste well. I would suggest that you construct a vertical column with crushed limestone (say about 5 mm grains) and allow the distilled water to slowly run through it. That would result in a somewhat "hard" water with Ca and a little better taste. Can you find dolomite that would result in Ca and Mg additions, which would be better. But, as a previous writer told, the daily intake of minerals dominates from solid food.

I'd suggest everyone to start distilling water. Every day we hear increase in fluoride and nitrate in water. In New Zealand here we have the highest colorectal cancer because of nirtates and God knows what seeps to our drinking water.