The letter was shared by the former president on Twitter today.
Shah said Modi's letter spelt out the bond between the two leaders from different political ideologies and was an example of how by rising above party lines, the prestige of the highest constitutional post could be enhanced with mutual respect.
"I read the letter after it was shared on the social media. Modiji is emotional by nature. But, the way he praised Mukherjee in the letter, I believe that in the coming decades, the kind of respect and behaviour a prime minister should have towards the president, PM Modi has set an example in this regard," he said at a press conference here.
"Pranab Da, you have always been a father figure and a mentor to me," an emotional Modi had written in the letter to Mukherjee.
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"On my last day in office as the President, I received a letter from PM @narendramodi that touched my heart! Sharing with you all," Mukherjee said in a tweet.
Modi responded by saying, "Pranab Da, I will always cherish working with you."
"Pranab Mukherjee was never associated with the BJP. However, after becoming the president, when the BJP government was formed, neither the PM ever felt that Pranab Babu was not connected with the BJP nor Pranab felt that this government was of some other party," he said.
The BJP national president, arrived here yesterday on a three-day visit to Haryana. With an eye on the 2019 Lok Sabha polls, he is on a countrywide tour to strategise and find ways to strengthen the party at the grassroot level.