We have produced 90mNb and 99mTc in the reactions of natZr(p,xn)90mNb and 100Mo(γ,n)99Mo, followed by disintegration to 99mTc, respectively, and measured the half-lives of these nuclides by using a reference source method. In order to determine the short half-lives of 90mNb precisely, an on-line gas-jet system has been employed. As a result, the half-lives of these nuclides were determined with good precision on the order of magnitude of 0.1%.