This paper proposes an improved version of time-division duplex (TDD) mode called slot-splitting TDD (SS-TDD), which increases the average achievable capacity of a TDD cellular network by splitting a slot. The improvement results from partial relaxation of the restriction in the former versions of TDD, which requires an integer number of downlink slots. The proposed method can be implemented with no significant increase in computational complexity. In addition, with a few minor modifications, the proposed SS-TDD can be applied to two out of three burst types in UTRA TDD with a single-switching-point configuration. In a multi-cell environment with mixed traffic, our analysis shows that the proposed SS-TDD increases the average cell capacity (in Mbps) by up to 18.5-10.0%, and the Erlang capacity by up to 20.5-44.3%, for targeted SIRs in the range of 5-7dB.