They said the variations of "God", "Christ" and "Jesus Christ" are commonly used as exclamations.
In Hosking's case, he used the phrase to express his own and voters' frustration at the Government's response to the ordeal.
The second complaint came after a farmer used the expression "for Christ's sake" when talking about a report on 1 News on the outbreak of a cattle disease in South Canterbury.
The authority found that there was a public interest and high value in hearing an authentic voice from a New Zealand farmer as part of the report.
It noted that the farmer used the expression to express his frustration and strong support of the affected farm owner.
The complaint was not upheld.