Speaking to reporters here, he also said Meira Kumar was the "best pick" by the opposition.
Asked if the NDA could have found a better candidate than former Bihar governor Ram Nath Kovind, Pawar said it was an "internal matter" of the ruling coalition.
"But, we were expecting someone like Lal Krishna Advani or Murli Manohar Joshi as their candidate," he added.
The Maratha strongman also praised Kumar's credentials.
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Pawar, whose name was doing the rounds as a possible opposition candidate till sometime ago, said he had made it clear that he was not interested to contest the election to the country's top constitutional post.
"My name was suggested by some people, but I had already clarified that I never wanted to get into this," he said.
"As per my knowledge, the locals are cooperating and we should try to understand them as the outside elements are destabilising the situation. The government should take strict measures to curb their entry from across the border," Pawar said.
All parties, including the Congress, were ready to support the Centre in resolving the Kashmir issue, he said, adding, "The opposition does not want to do politics on it."
However, the NCP chief said in view of the situation prevailing in the Valley, the country needed a "full-time defence minister" to keep the morale of the armed forces high.