The Nikkei share average ended 1.0 percent higher to 15,291.64, the best closing level since Oct 10.
For the week, the index gained 5.2 percent.
Tokyo-listed shares in firms manufacturing Ebola-related products jumped in response to news that a New York City doctor who had worked with the humanitarian organization Doctors Without Borders in Africa became the first person to test positive for the virus in America's largest city.
Air filter manufacturer Airtech Japan Ltd leapt 17 percent, while health protection device maker Shigematsu Works Co Ltd soared 10 percent.
Fujifilm, which makes the Avigan drug hoped to be a potential cure for the deadly virus, also rose 2.5 percent.
The yen was at 107.97 against the dollar, pulling away from two-week lows hit early on Friday as US stock futures tumbled on reports of the New York Ebola diagnosis. [ID: nL3N0SJ16I]
The depreciation of the Japanese currency helped export shares, with Toyota Motor Corp jumping 1.8 percent and Tokyo Electron Ltd rising 1.2 percent.
The broader Topix rose 0.8 percent to 1,242.32, while the JPX-Nikkei Index 400 also advanced 0.9 percent to 11,308.95.