The 12-day meeting has to agree on a draft agreement which would form the cornerstone of a historic deal to be signed in Paris in December 2015 and take effect by 2020.
During the opening ceremony, Executive Secretary of the UN Framework Convention on Climate Change Christiana Figueres asked negotiators to "make history" at the Peru Summit.
"2014 is threatening to be the hottest year in history and emissions continue to rise. We need to act urgently."
UN-member states have vowed to limit global warming to two degrees Celsius over pre-Industrial Revolution levels.
Last week, the US scientific agency National Oceanic and Atmospheric Administration had warned that the world could witness the hottest year this year with the first 10 months of 2014 being the warmest since record keeping began more than 130 years ago.
The average global temperature between January and October has been 0.68 degrees Celsius higher than the 20th century's average global temperature of 14.1 C.
The agreement between the two biggest polluters will provide momentum, and pressure, for other countries to announce similar plans.
As the third-largest emitter, India is at the forefront of the conference because it has yet to announce a post-2020 climate action plan.
How India reacts to the recent US and China climate deal is the focus of many at the Lima talks as it is seen as the country with the potential for the largest impact on future emissions and the fate of a cohesive Paris agreement.
She also noted that developed country negotiators should strive to "strengthen the financial capacity of the most vulnerable.
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