Opposition is a word used in observational astronomy (and also astrology). It is used when two objects in the sky are on the opposite side of the sky when viewed from the Earth.
In particular, two planets are in opposition to each other when their ecliptic longitudes differ by 180°. When talking about a single object being in opposition, it is assumed to be opposite from the sun.
A planet (or asteroid or comet) is said to be "in opposition" when it is in opposition to the Sun as seen from the Earth. This is the best time to observe a planet because:
it is visible almost all night, rising around sunset, culminating around midnight and setting around sunrise
its orbit brings it closest to the Earth, making it appear bigger and brighter
light reflects more brightly from bodies with rough surfaces, at that angle
References
↑U.S. Naval Observatory Nautical Almanac Office, P. Kenneth Seidelmann (ed) 1992. Explanatory supplement to the Astronomical Almanac. University Science Books, Mill Valley CA, 733. ISBN0-935702-68-7