Merkel's spokesperson Steffen Seibert said the German parliament's decision must be "respected" by Ankara.
"The resolution was a political initiative that emerged from the midst of the Bundestag, which is a democratically elected, independent organ under our constitution," he said.
"The Bundestag reached a sovereign decision. That must be respected," he added.
Turkey Rages Against 'Traitors'
Following last week's vote, Erdogan embarked on a series of angry tirades aimed at Berlin, saying he would "never accept the accusations of genocide."
"First you need to answer for the Holocaust, then for the murder of 100,000 people in Namibia," Erdogan said.
The recognition of the so-called "Tutu genocide" in Namibia, by Germany, acknowledges today by Turkey is total nonsense— Vahan Hakobian (@EU_PRIME) June 6, 2016
Difference with Germany and Turkey that Namibia is independent from Germany, while the West Armenia, is still occupied by Turkey.— Vahan Hakobian (@EU_PRIME) June 6, 2016
The president then accused 11 German MPs with Turkish heritage, who backed the resolution of supporting "terrorism" committed by the banned Kurdish Workers' Party (PKK), and demanded they undertake "blood tests" to see "what kind of Turks they are."
These comments were backed up by the Mayor of Ankara, Ibrahim Melih Gokcek, who tweeted a picture of the politicians along with the hashtag: #TheTraitorsMustLoseTheirCitizenship.
The increase in political rhetoric comes amid a sinister turn in the genocide row, with Green Party co-leader Cem Ozdemir, who also has Turkish heritage, receiving anonymous deaths threats.
Erdogan singled out Ozdemir for his role in putting forward the resolution, while the MP is now under police protection.
Record number of death threats from Turkish nationalists against Cem Ozdemir, Greens cohead and backer of Armenian genocide resolution— Chase Winter (@chaseawinter) June 5, 2016
"The votes in the German Bundestag aren't made depending on which authoritarian leaders are happy and which ones aren't," he said, in an attack back at the Turkish president.
German Turks Slam Erdogan, Ankara Vows Retaliation
While there was anger within Germany's Turkish community over the genocide vote, many have slammed the actions of Turkish officials, including president Erdogan.
"We find death threats and demands for blood tests abhorrent," Gokay Sofuoglu, chairman of Germany's Association for the Turkish Community, said.
"I think the era when people were defined by their blood ended in 1945. This is absolutely out of place."
The diplomatic row comes amid a delicate time in Turkish-German relations, with concerns it may scupper the refugee deal negotiated between Brussels and Ankara, with Turkish Foreign Minister Mevlut Cavusoglu telling broadcaster TRT that the government "will take action against the German parliament's resolution. We cannot stay silent."