"India and the United States share a bilateral partnership which has deepened and intensified in diverse and critical areas of co-operation during your first term in office.
"Ours is a relationship based on shared democratic values of individual liberty, pluralism and respect for the rule of law," Mukherjee said in his message, according to presidential spokesperson Venu Rajamony.
"We have built a strategic partnership in areas of shared interest, including matters relating to international peace and security, technological co-operation and in strengthening institutions of global governance. We look forward to the further progress of our co-operation in all these areas during your second term," said Mukherjee.Finance minister P Chidambaram on Wednesday expressed the hope that economic ties with the United States would improve with the re-election of Barack Obama as the US President.
"I congratulate President Obama. I hope that Indo-US relations (will) get stronger...especially economic relations", he told reporters in New Delhi.
Obama won the election to get a second term as the US President overcoming a stiff challenge from Republican Mitt Romney.
A votary of strong ties with India, 51-year-old Obama, the first black American to occupy the White House, scored the victory after a bitter and costly campaign running over months.
Leaders of India Inc too have welcomed the re-election of Obama saying that continuity would be good for bilateral relations, but some of them expressed concerns over the outsourcing issue.