This paper explores the design of incentive scheme to induce agent to invest in specific human capital, whose motivation to invest depends on career concerns. In case that investment is the agent's hidden action and productivity is the principal's private information, productivity contingent contract can't induce efficient investment due to double moral hazard. Both up or out contract and promotion contract can alleviate double moral hazard problem.But the efficiency of Promotion Scheme depends on the principal’s reputation． Whereas up or out contract can achieve Pareto efficiency when human capital is specific enough，or the marginal cost of invest is low enough