The North's main body for inter-Korean affairs said it would like to get the reunions going again, but questioned the South's sincerity.
"How could separated families comfortably meet for a reunion in the face of ceaseless war practices staged in the South?" the Committee for the Peaceful Reunification of Korea (CPRK) was quoted as saying by the North's official KCNA news agency.
South Korea and the United States conduct a series of joint military exercises of varying magnitude every year.
Earlier this week South Korean President Park Geun-Hye had called for a family reunion event to be held around the time of the Lunar New Year on January 31.
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In a press conference, Park said the reunion programme would provide new momentum to improving ties following years of high tensions.
A reunion had been scheduled for September last year but Pyongyang cancelled it at the last minute, blaming "hostility" from South Korea.
"In contrast to our genuine efforts, press experts and even government officials in the South made rude comments and displayed bad behaviour," the CPRK recalled in its message today to the South's Unification Ministry.
"The North should show sincerity through its actions, instead of talking about improving ties only with words," the Unification Ministry said.
Millions of Koreans were left separated by the Korean War, which sealed the peninsula's division. Most have died without having the chance to reunite with family members last seen six decades ago.
The reunion programme began in earnest in 2000 following an historic inter-Korean summit.
Sporadic events since then have seen around 17,000 people briefly reunited. The last such meeting took place in late 2010, before the programme was suspended in the wake of the North's shelling of the South Korean border island of Yeonpyeong.