Quantum entanglement swapping is one of the most promising ways to realize the quantum connection among local quantum nodes. In this Letter, we present an experimental demonstration of the entanglement swapping between two independent multipartite entangled states, each of which involves a tripartite Greenberger-Horne-Zeilinger (GHZ) entangled state of an optical field. The entanglement swapping is implemented deterministically by means of a joint measurement on two optical modes coming from the two multipartite entangled states respectively and the classical feedforward of the measurement results. After entanglement swapping the two independent multipartite entangled states are merged into a large entangled state in which all unmeasured quantum modes are entangled. The entanglement swapping between a tripartite GHZ state and an Einstein-PodolskyRosen entangled state is also demonstrated and the dependence of the resultant entanglement on transmission loss is investigated. The presented experiment provides a feasible technical reference for constructing more complicated quantum networks.PACS numbers: 03.67. Hk, 03.67.Bg, 42.50.Ex, 42.50.Lc Multipartite entangled states play essential roles in quantum computation and quantum networks. Cluster states, a type of multipartite entangled states, are basic quantum resources for one-way quantum computation [1,2]. Based on a prepared large scale cluster state, one-way quantum computation can be implemented by measurement and feedforward of the measured results [3][4][5][6]. It has been demonstrated that a local quantum network can be built by distributing a multipartite entangled state among quantum nodes [7][8][9][10]. If we have two space-separated local quantum networks built by two independent multipartite entangled states, respectively, how can we establish entanglement between the quantum nodes in the two local quantum networks? It has been proposed that a large scale cluster state can be generated by the fusion of small scale cluster states, which is completed by means of linear optical elements [11]. The shaping of a larger cluster state to a smaller one according to the requirement for one-way quantum computation has been demonstrated [12]. Another feasible method of merging two multipartite entangled states into one larger multipartite entangled state is quantum entanglement swapping [13], which has been proposed to build a global quantum network of clocks that may allow the construction of a real-time single international time scale (world clock) with unprecedented stability and accuracy [14].Quantum teleportation enables transportation of an unknown quantum state to a remote station by using an entangled state as the quantum resource. Up to now, long distance quantum teleportation of single pho- * Electronic address: suxl@sxu.edu.cn â Electronic address: kcpeng@sxu.edu.cn tons over 100 km has been experimentally demonstrated [15][16][17]. Quantum entanglement swapping, which makes two independent quantum entangled states become entangled without direct int...