Eucalyptus, a native of Australia, is a fast growing invasive tree. There are hundreds of different kinds of Eucalyptus and it holds a reputation for growing in the harshest of outdoor climates-snow laden mountains to steamy, dry deserts. The secret to growing Eucalyptus anywhere, and that includes indoors (not a typical use for the plant), is to make sure that you start with the right type of Eucalyptus in the first place. This will save you loads of emotional frustration later.

...
Grow Eucalyptus Indoors

Step 1

Research the Internet on appropriate varieties of Eucalyptus that can grow indoors and buy a plant. It is recommended to actually purchase a starter, or even an already established young Eucalyptus plant.

...
Your Eucalyptus needs an abundance of Vitamin D.

Place the Eucalyptus plant in bright light. Keep near a window that receives plenty of sunshine. The Eucalyptus needs ample amounts of light to thrive indoors. Make sure that the environmental indoor temperature does not get too hot, however. The best indoor climate is cool to warm.

...
Moist soil=healthy Eucalyptus.

Water your Eucalyptus regularly. The soil should be kept moist, except during the winter months when you can cut back on your watering regime.

Step 4

Be understanding of this fact: A typical young Eucalyptus is fine indoors, but usually outgrows its inside habitat in a couple of years.