* Dedication: Words like ἀφιέρωσις ( *aphierōsis* ) or καθιέρωσις ( *kathierōsis* ) are frequently used to describe the act of setting something apart for sacred use. These imply a dedication or sanctification.
* Setting Apart: Words implying separation or distinction from the profane, such as ἀφορισμός ( *aphorismos* ) might be used, although this is less directly about the act of making something sacred.
The best Greek translation for "consecration" will therefore depend heavily on the specific context in which the word is used. You'd need to consider *what* is being consecrated (a person, a building, an object, etc.) and *to whom* or *to what* it's being consecrated (a deity, a purpose, etc.).