Zalmay Khalilzad’s comments come as renewed fighting for days has plagued Afghanistan’s southern Helmand province, a long-time Taliban stronghold.
On Friday, the Taliban agreed to halt its attacks on the condition that the US stopped its airstrikes in the area.
A suicide car bombing on Sunday then killed at least 13 people and wounded around 120 others in Afghanistan’s western Ghor province.
“Violence has stalked Afghans for far too long. It has robbed far too many Afghans of their loved ones,” Mr Khalilzad wrote on Twitter. “The tragedy in Ghor today is the most recent example.”
He added: “The belief that says violence must escalate to win concessions at the negotiating table is very risky. Such an approach can undermine the peace process and repeats past miscalculations by Afghan leaders.”
8/9 The belief that says violence must escalate to win concessions at the negotiating table is very risky. Such an approach can undermine the peace process and repeats past miscalculations by Afghan leaders.
— U.S. Special Representative Thomas West (@US4AfghanPeace) October 18, 2020
The Taliban offered no immediate reaction to Mr Khalilzad’s tweets.
It issued a statement on Sunday over the US airstrikes targeting Helmand province warning that “all responsibility and consequences from continuation of such actions shall fall squarely on the shoulders of the American side”.
Omer Zwak, a spokesman for Helmand’s provincial governor, said on Monday there were still gun battles in a few areas of the province’s Nad Ali and Nawa districts.
The Afghan air force separately conducted limited airstrikes to support Afghan forces trying to retake Taliban-held areas, he added.
The peace talks in Qatar between the Taliban and Afghan government negotiators began in September but after a ceremonious start they became bogged down. This current round of negotiations come after a deal in February between the US and the Taliban.
Despite the challenges, the ongoing talks represent the most serious effort yet at ending decades of war in Afghanistan that followed the 2001 US-led invasion that toppled its Taliban government.