Instructions
Make observations about how the eclipse looks. Is the orbital body black, with rays of light shining out from behind it? Or, is it a dark, brownish red? The former is a solar eclipse, while the latter is a lunar eclipse.
Note the timing of the eclipse. Solar eclipses occur during the day. Lunar eclipses occur at night when the moon is full.
Ask yourself whether something like this has happened recently or not. Although solar eclipses happen somewhat frequently, they are rarely visible from the same location until years later. If you have seen a solar eclipse from your hometown, you would have to wait an average of 365 years before you could see it there again. Lunar eclipses can be seen from more locations at once and average 15 appearances every 10 years. If you have seen a similar phenomena recently and are still in the same location, chances are it is a lunar eclipse.
Consider what is causing the eclipse. Solar eclipses occur when the moon partially or totally blocks out the sun. The rays of the sun shine out from behind the moon. Lunar eclipses occur when the the Earth is aligned between the moon and sun. The Earth prevents sunlight from reaching the moon and casts a shadow.