"Accidentally on purpose" is a phrase that describes actions done intentionally while pretending they happened by accident. Some possible synonyms for this phrase include "deliberately," "intentionally," "purposefully," "willfully," "premeditatedly," and "with malice aforethought." Other synonyms might include "covertly," "surreptitiously," "deviously," "underhandedly," "secretly," and "furtively." Depending on the context, additional words that convey a sense of intentionality might include "cunningly," "slyly," "craftily," "calculatingly," or "artfully." By substituting these phrases for "accidentally on purpose," speakers and writers can more precisely convey the nuances of their intended meaning.