With top-four rivals Manchester United and Leicester City facing each other on Sunday, Frank Lampard's side needed no more than a point at Stamford Bridge to guarantee their spot in next season's Champions League.
And despite a sluggish start, Chelsea turned on the style in first-half stoppage time, with Mount's stunning free-kick opening the scoring before Giroud doubled their tally moments later.
Europa League hopefuls Wolves toiled in the second half, but the visitors offered little threat as their 41-year wait for a top-flight win at Stamford Bridge rolled on.
After 45 minutes largely devoid of action, Chelsea sparked into life in stoppage time – Mount curling a sensational free-kick into the left corner to break the deadlock.