Yoshitaka Shindo, the minister of internal affairs and communication, visited Yasukuni shrine on New Year's Day as thousands of people attended Shinto shrines and Buddhist temples to pray for good fortune in 2014, Jiji and Kyodo news agencies said.
Last Thursday Abe made his first visit as premier to the shrine, which honours Japan's war dead including several high-level officials executed for war crimes after World War II.
China and South Korea see it as a brutal reminder of Tokyo's imperialist past and wartime aggression, and its failure to repent for its history.
"I have renewed my wish for peace, hoping that the war shall not be repeated again," the 55-year-old told reporters at the shrine.
Chinese foreign ministry spokeswoman Hua Chunying expressed Beijing's "strong protest" over the visit, calling it "yet another provocative act" by a Japanese cabinet member.
Abe, known for his nationalist views, came to power in December 2012 in an election landslide.
He previously served as premier from 2006 to 2007 without visiting Yasukuni after his predecessor Junichiro Koizumi's repeated pilgrimages there saw ties with Beijing and Seoul plunge to their worst in decades.
