An apparatus for regulating tension in warps of a weaving machine comprising: a tension lever swingably supported on a weaving machine and having a roller supported thereon for regulating the tension in warps delivered from a warp beam; a weight lever swingably supported on the weaving machine and having a load at one end thereof; and a link operatively connecting the tension lever and the weight lever. The tension lever has an elongated hole formed thereon, and the lever ratio of the tension lever is changed by moving the link along the elongated hole.The apparatus further includes a support member having two pairs of guide rollers and being connected to the link, so that the relative movement between the link and the tension lever can smoothly be carried out.