We show that in the presence of cross-ownership associated with an improvement of production inefficiency of the public firm, the optimal privatization policy is full privatization in the absence of budget constraint, while the optimal privatization policy when the government imposes a budget constraint is full nationalization without free private entry. The important implication on budget constraint and privatization policy is that the government should not impose budget constraint on the public firm but needs to adopt full privatization policies for achieving higher social welfare.