The Army chief's remarks came amid mounting international pressure on the government to hold accountable those responsible for the alleged war crimes.
Sri Lanka faced criticism at the UN Human Rights Council for its rights record under the regime of former president Mahinda Rajapaksa.
Three resolutions since 2013 have resulted in a demand to have an international probe on alleged war crimes committed by both government troops and the Liberation Tigers of Tamil Eelam (LTTE) during the last phase of the civil war which ended in 2009.
"Those who fought the war will not be punished. Not a single soldier who fought bravely has been punished, nor will they be allowed to be penalised because we have not committed any offences," he said.
According to UN figures, up to 40,000 civilians were killed by security forces during the Rajapaksa's regime that brought an end to the brutal civil war with the defeat of the LTTE.
Rajapaksa, now in opposition, charges that troops are being hounded to please international masters of the current government.
Senanayake said that security personnel had no special immunity.
"Even if I have done something wrong, I must be punished. I want to say, there is a difference between 'mini maruwa' (murderer) and 'rana viruwa' (war hero). The people should know the difference, especially the military," he said.
"We are subject to both the penal code and the military law. Therefore we have to be a highly disciplined force," he said.
The LTTE, which led the separatist war for a separate Tamil homeland, was finally crushed by the Lankan military in 2009 with the death its supremo Velupillai Prabhakaran.
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