Two goals from Thomas Muller and a strike apiece from Arjen Robben and Mario Gomez secured a memorable victory at the Allianz Arena and see Bayern place one foot in the final, and Heynckes was thrilled at the all-round effort from his charges.
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"My team made our tactics work brilliantly. We ran and we fought, and that's down to our strength and class."
Heynckes was understandably pleased with his side's victory, but insisted that the tie is not over just yet.
"I am happy about the result, but I am not getting carried away. I know we still face 90 very difficult minutes in Spain. We will enjoy what happened tonight, but nothing more.
"It is important to stick to your tactical guidelines against Barcelona and that is what makes my team stand out this year."
With Bayern having already wrapped up the Bundesliga and booked their place in the DFB Pokal final, Heynckes is well on course to complete an historic treble before being replaced by former Barca boss Pep Guardiola in the summer.