Tensile, mostly, but it's not stronger, it's tougher. The other answers to your question so far are all wrong or missing the central point.
Spider silk has ultimate tensile strength comparable to some high-strength steels, around 1.4 GPa. Everyday steels are significantly weaker, around 0.4 GPa. Some steels have higher tensile strengths, like 2.6 GPa maraging steel. There are many materials with similar or higher tensile strengths: E-glass (3.5 GPa), carbon fiber (typically 4.1 GPa, 7 GPa for Toray T1100G), kevlar (3.8 GPa), zylon (5.8 GPa), boron (3.1 GPa), sapphire (1.9 GPa), diamond (2.8 GPa), graphene (130 GPa), dyneema (3 GPa). Some of these, like dyneema, are even comparable in density to spider silk. So what's so special about spider silk?
Where spider silk is outstanding is that it combines high strength with high extensibility. Think of rubber: cast iron or diamond are much stronger than a rubber tire in the sense that they can bear heavier loads on the same cross section, whether in tension, compression, or shear; but if you hit a cast iron pot or a diamond with a sledgehammer they will break, while a rubber tire will be unharmed. This is because the rubber deforms under the blow, slowing down the hammer without ever experiencing a very high force.
If you integrate the force on a spring over a distance (∫ F · dx), you get the change in the energy of the spring. If you integrate it over the spring's entire working range, you get its energy capacity as a spring. Every solid object is a spring, so you can do this for any solid object. "Stress" is force divided by cross-sectional surface area, and "strain" is extension divided by length, and the presumption of linear elasticity theory is that the stress–strain relation of a material, as well as its yield stress and breaking stress, are properties of the material rather than of particular objects made from it.
If, instead of integrating force over distance, you integrate stress over strain, you get the amount of deformation energy the material can absorb per unit volume without breaking, for example in an impact. That's the material's theoretical toughness.
All the other high-strength materials in the above list either deform plastically or break at under 10% extension; many of them break at under 0.1% extension. Spider silk breaks at 35%–500% extension. This makes some spider silks 10 times tougher than even kevlar.
Usually compressive, tensile, and shear strengths increase and decrease together; the biggest exception is when the material is full of cracks, like glass and concrete.